Dwight spent $250 to rent a jet ski for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and then an hourly rate for each additional hour, h. The equation 4h + 150 = 250 models Dwight's cost of renting the jet ski. How much does each additional hour of rental cost?
Responses
A $20$20
B $25$25
C $30$30
D $45
To find the cost of each additional hour of rental, we can rearrange the equation 4h + 150 = 250 to solve for h.
First, subtract 150 from both sides of the equation:
4h + 150 - 150 = 250 - 150
4h = 100
Next, divide both sides of the equation by 4 to isolate h:
4h/4 = 100/4
h = 25
Therefore, each additional hour of rental costs $25.
The correct answer is B.
To find the cost per additional hour of rental, we need to subtract the base rate from the total cost, which is $250.
$250 - $150 = $100
Since Dwight rented the jet ski for 6 hours, we need to find the total cost for the additional 4 hours. We can set up an equation to represent this:
4h + 150 = 100
Subtracting 150 from both sides, we have:
4h = -50
Dividing both sides by 4, we find:
h = -12.5
Since time cannot be negative, we made an error.
The correct equation should be:
4h + 150 = 250
Subtracting 150 from both sides, we have:
4h = 100
Dividing both sides by 4, we find:
h = 25
Therefore, each additional hour of rental costs $25.
The answer is $\boxed{\text{(B)}\ $25}.
To find the cost of each additional hour of rental, we need to solve the equation 4h + 150 = 250, which models Dwight's cost of renting the jet ski.
Step 1: Subtract 150 from both sides of the equation to isolate the term with h.
4h = 250 - 150
4h = 100
Step 2: Divide both sides of the equation by 4 to solve for h.
h = 100 / 4
h = 25
Therefore, each additional hour of rental costs $25.
The answer is B. $25.