When Rachel puts gas in her car, she records the distance that she has driven since her last
fill-up and the number of gallons of gas that her car has used. She uses this information to
predict the amount of gas that her car will use to travel different distances,

g=0.04 times d

Step-by-step explanation:

if you multiply 0.04 with every number under the d column then you’ll get the outcome of each number under g

The relationship between the number of gallons of gas that the car uses g, and the number of miles the car has driven d, is given by the equation g=0.04d. Since the values of g and d are linearly connected.

It is given that,

A table of content about the distance traveled by Rachel and the gas used for that distance.

The distance is given in miles as d and the gas is given in gallons as g

The values of d given in the table are 14, 70, 109, and 140. Here the order is increasing.

The values of g given in the table are 0.56, 2.8, 4.36, and 17.6. Here also the order is increasing.

Since the values of g and d are increasing linearly and g is depending on d, consider a linear equation as follows:

[tex]g=ad+c[/tex]

Finding a and c from the obtained equation:

From the table, when d=14, g=0.56 and d=70, g=2.8

On substituting these values in the equation we get

0.56=14a+c

2.8=70a+c

Subtracting 1st equation from the 2nd equation,

2.8-0.56=(70a+c)-(14a+c)

⇒ 2.24=56a

⇒ a=0.04

On substituting a value in any of the equations we get

0.56=(0.04)(14)+c

⇒ c=0

Thus, the required equation becomes g=0.04d. This says that the g and d values are linearly related to each other.

Learn more about linear equations here:

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