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

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