This equation shows how the cost of renting a moving van depends on how many hours it is rented for.

Question

c = 5h + 11

The variable h represents the number of hours the moving van is rented for, and the variable c represents the cost in dollars. For $16, what is the maximum amount of time that a moving van can be rented for?

hours

Answer 1

To find the maximum number of hours \( h \) that the moving van can be rented for at a cost of $16, we can use the equation given:

\[ c = 5h + 11 \]

We want to set \( c \) to 16 and solve for \( h \):

\[ 16 = 5h + 11 \]

Now, we will subtract 11 from both sides:

\[ 16 - 11 = 5h \] \[ 5 = 5h \]

Next, we divide both sides by 5:

\[ h = 1 \]

Thus, the maximum amount of time that the moving van can be rented for at a cost of $16 is:

\[ \boxed{1} \text{ hour} \]