Question

A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveling s miles is give by s= 120-12r.

Answer 1

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

$s = 120 - 12r$

A linear equation is represented as:

$y = c + mx$

Where

$c =y\ intercept$ and

$m = slope.$

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

$s = 120 - 12r$

$s = 120 - 12 * 5$

$s = 120 - 60$

$s = 60$

60 miles traveled

Solving (b): s = 36

$s = 120 - 12r$

$36 = 120 - 2r$

Collect like terms

$2r =120 -36$

$2r =84$

Solve for r

$r = 42$

42 gallons used