Answer:
[tex] d = 24g [/tex]
Step-by-step 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 = [tex] \frac{d}{g} = \frac{120}{5} = 24 [/tex]. (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:
[tex] d = 24g [/tex]
