Question

The total cost f(x), in dollars, for renting a bike for x hours is shown:

f(x) = 10 + 20%. What does f(10) represent?
A) The number of miles the bike can travel for a cost of $10
B) The number of miles the bike travels in 10 hours
C) The number of hours the bike can be rented for a cost of $10
D) The number of dollars it costs to rent the bike for 10 hours

Answer 1

D) The number of dollars it costs to rent the bike for 10 hours.

Thus the correct option is D.

Step-by-step explanation:

The expression
`\( f(x) = 10 + 20\% \)` represents the total
`cost (\( f(x) \)` in dollars for renting a bike for
`\( x \)` hours. To find
`\( f(10) \),` substitute
`\( x = 10 \)` into the equation, yielding
`\( f(10) = 10 + 20\% \).`

This result represents the cost of renting the bike for 10 hours.

Breaking down the equation, the constant term
`\( 10 \)` represents an initial cost, while the
`\( 20\% \)` accounts for a percentage increase, possibly reflecting additional charges or fees.

Therefore,
`\( f(10) \)` gives the total cost for renting the bike for 10 hours, including the initial cost and any additional charges.

Option D, "The number of dollars it costs to rent the bike for 10 hours," aligns with the interpretation of
`\( f(10) \)` as it directly corresponds to the total cost for the specified duration.

The other options (A, B, and C) do not accurately capture the meaning of
`\( f(10) \)` in the context of the given function, as they refer to different aspects such as miles traveled or the number of hours the bike can be rented for a fixed cost.