y-intercepts in Real-World Problems Practice
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Question
Cesar rents a bicycle for a flat rate plus $10 per hour. He models the cost of the rental with the function f(x)=10x+15
, where x
is the number of hours he rents the bicycle, and f(x)
is the total cost of the bicycle rental, including the flat rate and the hourly fee. What is the flat rate for the bicycle rental?(1 point)
$
1 answer
To find the flat rate for the bicycle rental using the function \( f(x) = 10x + 15 \), we need to identify the y-intercept of the function. In this case, the y-intercept occurs when \( x = 0 \) (which represents renting the bicycle for 0 hours).
Setting \( x = 0 \) in the function:
\[ f(0) = 10(0) + 15 = 15 \]
This means that when no time is rented (0 hours), the total cost \( f(0) \) is $15.
Therefore, the flat rate for the bicycle rental is:
\[ \text{Flat Rate} = $15 \]
