Question

1. The graph shows the number of miles Peter's car traveled and the gallons of gas used.

MILEAGE OF PETER'S CAR
160
140
120
100
Milco Traveled
BO
(5, 1201
60
40
20
1 2 3 4 5 6 7 8 9 10
Gallons of Gas
slope =¥
Which equation can be used to find the distance in miles, d, that the car can travel on g
gallons of gas?
A. d = 169
B. d=209
cd=249
D. d = 309
Slzo
28
10

Answer 1

C. d = 24g

Explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

(gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

k = d/g = 120/5 = 24

The equation is d = 24g.