Question

10

MILEAGE OF PETER'S CAR
160
140
Miles Traveled
8 8 8 8 8 8 8 8
60
1 2 3 4 5 6 7 8 9 10
Gallons of Gas
The graph shows the number of miles Peter's car traveled and the gallons of gas used.
Which equation can be used to find the distance in miles, d, that the car can travel on g
gallons of gas? *
(5 Points)
d = 169
d = 309
d=249
d=129

Answer 1

`d = 24g`

Explanation:

The graph shows a proportional relationship between distance travelled in miles and the gallons of gas used. Thus, a simple equation can be written to represent this relationship by simply applying the the equation that describes a proportional relationship.

Equation representing a typical proportional relationship is y = kx, where k is the constant of proportionality.

In this case,

y = distance in miles travelled represented by d

x = gallons of gas used represented by g

k = constant of proportionality which is distance travelled per gallon =
`(d)/(g) = (120)/(5) = 24`. (note: to get k, you can use any coordinate pair of a point in the line graph).

Therefore, an equation that can be used to find the distance travelled is:

`d = 24g`