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Answer :
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.
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.
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