The constant rate of change of $8 per hour signifies that for each hour that passes, the associated value increases by $8. To find missing values in the table, you add or subtract $8 per hour depending on whether you're looking forward or backward in time.
Explanation:Since the constant rate of change in your table is $8 per hour, this means that for each hour that passes, the value in your relationship increases by $8. This value is akin to the concept of constant slope in the graph of a linear function, where the 'rise over run' (or change in y-values over change in x-values) remains the same.
To find the missing values in your table, start with the first known value and add $8 for each subsequent hour. If you're moving backwards (i.e., from a time later to an earlier time), you would subtract $8 for each hour.
For example, if you know that the value at 2 hours is $20, then the value at 3 hours would be $20 + $8 = $28. On the other hand, the value at 1 hour would be $20 - $8 = $12.
By applying this step-by-step process, you should be able to fill in the missing values in your table.
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1. Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
Algebraic equations are equations that consist of unknown variables. These variables can be represented using the letters of the alphabet.
The total fee charged by the companies will be the same in 3 hours.
Let's represent the number of hours as :h
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. The algebraic equation to represent this statement is given as:$15 + $3 x h
15 + 3h ..........Equation 1
Happy Hounds charges a flat fee of $21 plus $1 per hour. The algebraic equation to represent this statement is given as:$21 + $1 x h
21 + h ..........Equation 1
We equate both equations to each other
Equation 1 = Equation 2
15 + 3h = 21 + h
Collect like terms
3h - h = 21 - 15
2h = 6
Divide both sides by 2
2h/2 = 6/2
h = 3
Therefore, the total fee charged by the companies will be the same in 3 hours.
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The distance between Cameron and jonesville is 80 miles . the scale on the map is 0.75 in : 10 miles . How far apart are the cities on the map
Answer:
6,751.76 miles
Step-by-step explanation:
Given
distance between Cameron and jonesville = 80 miles
scale on the map is 0.75 inches (10 miles)
To determine the Distance apart of the cities on the map we use a proportion
Therefore
Let x represent the distance apart
0.75 inches/10 miles = 80 miles/ x miles
Cross multiply
0.75x = 80 miles × 10 miles
x = 800 miles/0.75 inches
Convert 0.75 inches to miles = 1.184 × 10-5 mile
Therefore 800miles/1.184 × 10-5 mile
x = 6,751.76 miles
Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.99. If the four friends split up the cost of the snacks equally, how much should each friend pay?
2.99 because you add the total cost up, which would be 11.96. So then you would divide 11.96 by 2.99 which gives you 2.99
how many rainbow six events has there been since beta?
What are 5 numbers that have 5, 11, and 2 as prime factors
Hollis and Charmaine are curious about which mode of transportation gets them from their apartment to the mall faster. Hollis takes public transportation and gets to the mall in 18.5 minutes. Charmaine rides her bike and gets to the mall in 0.5 hours. The mall is 2.4 miles away from their apartment. Use the formula for distance traveled, distance=rate⋅time, to find each rate of travel in miles per minute. What is the difference between Hollis' rate of travel on the bus and Charmaine's rate of travel on the bike? In other words, how much faster is it to take the bus in miles per minute? Enter your answer as a decimal, rounded to the nearest hundredth, if necessary, like this: 42.53 50 pts
What is 5.8 x 10^6 seconds in minutes?
Just to clarify ^x means exponent.
A. 3.48 x 10^8 minutes
B. 9.67 x 10^4 minutes
C. 9.67 x 10^8 minutes
D. 3.48 x 10^4 minutes
Answer: here you go (PIC)
ITS Bhope it helps
Answer:
B
Step-by-step explanation:
I took the test and I got it correct
The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?
Answer:
3.06
Step-by-step explanation:
The weight that a horizontal beam can support varies as the length of the beam suppose that a 2m beam can support 410kg how many kg can a 1 m beam support
All info in attachment. Please help! Thanks :)
Sale price is $75 it was 20% off what was the original price
On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes in the air in the United States at any given time.
About how many milliliters of gasoline are burned per minute by commercial airplanes in flight in the United States?
Enter your answer in the box.
1.2 x 10 (to what power) mL
3.9 x 5.1 = 19.89
10^3 x 10^3 = 10^6
19.89 x 10^6
move decimal point
1.989 x 10^7
Number 3 and how you got the answer
You put $550 in an account that earns 4.4% simple interest per year how much interest do you earn in six months
The area of a square is 121 square inches.Find the perimeter
What's twenty and fifteen thousandths in standard form HELP PLSSSSS
Unit 1: Scientific Notation Constructed Response Assignment
Number Properties. explanations, according to the Scientific Notation Constructed Response Assignment Rubric. Completely respond to all parts below. When you have finished, submit your completed assignment to the Unit 1: Scientific Notation Constructed Response Assignment folder in your Math OMS course.
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters. The diameter of a human hair is about 0.000025 meters.
Part A (2 points): What is the diameter of a human hair written in scientific notation?
Part B (2 points): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.
Part C (2 points): Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work.
Part D (2 points): The smallest known bacteria are from the genus Mycoplasma and can measure as small as 300 nanometers in diameter. Given that 1 meter = 1 x 109 nanometers, what is the diameter of the smallest bacteria, in meters? Give your answer in scientific notation and show your work.
How many solutions does this equation have 3(x+11) = 6(x+ 33)
three less than "x" is equal to 13
If the greatest value of n is 9, which inequality best shows all the possible values of n?
n ≤ 9
n ≥ 9
n < 9
n > 9
Answer:
The answer is n with the less than sign with it underlined and then 9 on the left side
Step-by-step explanation:
The reason why it is the less than sign with it underlined is because the problem says the greatest value and that sign mean at most which is also the greatest.
4k-(2k-6) simplify the expression
Ashely walks 2 1/2 miles around a lake around three times a week. If Ashley walks around the lake in 3/4 hour,what is her rate of speed? (Hint: Use the formula r= d/t, where the r is rate, d is distance, and t is time.
write 1.25 in expanded form
Convert -3.7 (with a line over the 7)to a mixed number
Someone please help me with my long division homework in return I will answer Spanish questions
Solve the equation for Y 13x+y=4
square root of 12 is between
how to solve this question
b/5-1=10
Karen has scored 29, 23, 19, 25, and 25 points in her five basketball games so far. How many points does she need to score in her next game so that her average (mean) is 24 points per game?
A scuba diver starts at 85.6 meters below the surface and descends until he reaches 103.2 meters below sea level. How many meters did he descend ?
The scuba diver descended 17.6 meters.
Explanation:To find the distance the scuba diver descended, subtract the starting depth from the ending depth. In this case, the starting depth is 85.6 meters below the surface and the ending depth is 103.2 meters below sea level. So, the distance the scuba diver descended is 103.2 - 85.6 = 17.6 meters.