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------------------------------------------------ The cost, [tex] C [/tex], of renting a jet ski for [tex] m [/tex] minutes is given by the equation [tex] C = 15 + 1.5m [/tex]. If Philip paid \$55.50 to rent a jet ski, how many minutes was he on the jet ski?

To find out how many minutes Philip was on the jet ski, we need to solve the equation that represents the cost of renting the jet ski:

The equation is:
[tex]\[ C = 15 + 1.5m \][/tex]

Where:
- [tex]$ C $[/tex] is the total cost, which is [tex]$55.50.
- $ 15 $ is the initial fixed cost (in dollars).
- $ 1.5m $ is the variable cost, $[/tex]1.5 per minute.

We know that Philip paid $55.50, so we can set [tex]$ C = 55.50 $[/tex] and solve for [tex]$ m $[/tex].

Steps to solve for [tex]$ m $[/tex]:

1. Substitute the known value of [tex]$ C $[/tex]:
[tex]\[ 55.50 = 15 + 1.5m \][/tex]

2. Subtract the fixed cost from both sides:
[tex]\[ 55.50 - 15 = 1.5m \][/tex]

3. Calculate the difference:
[tex]\[ 40.50 = 1.5m \][/tex]

4. Divide both sides by 1.5 to find [tex]$ m $[/tex]:
[tex]\[ m = \frac{40.50}{1.5} \][/tex]

5. Calculate the value:
[tex]\[ m = 27 \][/tex]

Therefore, Philip was on the jet ski for 27 minutes.