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
[tex]s = 120 - 12r[/tex]
A linear equation is represented as:
[tex]y = c + mx[/tex]
Where
[tex]c =y\ intercept[/tex] and
[tex]m = slope.[/tex]
c, in this question represents the initial capacity of the tank.
So, the initial capacity is 120 liters
Solving (a): r = 5
[tex]s = 120 - 12r[/tex]
[tex]s = 120 - 12 * 5[/tex]
[tex]s = 120 - 60[/tex]
[tex]s = 60[/tex]
60 miles traveled
Solving (b): s = 36
[tex]s = 120 - 12r[/tex]
[tex]36 = 120 - 2r[/tex]
Collect like terms
[tex]2r =120 -36[/tex]
[tex]2r =84[/tex]
Solve for r
[tex]r = 42[/tex]
42 gallons used
