To rent a power tool from ACE Hire, there is an initial charge of $15 and then an additional charge of $10 per hour. If C is the cost in dollars and t is the time in hours, then the formula connecting C and t is:

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BlackTom AI · Accepted Answer

First, let's parse the situation: there is an initial fixed charge of 15 dollars, and a variable charge of 10 dollars for each hour of rental. We want a formula that relates C (total cost) to t (hours).
Option a: C = 15 + 10t. This precisely combines the initial fee (15) with the hourly rate (10t), which matches the described pricing structure.
Option b: C = 25t. This would imply the cost scales only with time at a rate of 25 dollars per hour, ignoring the initial fixed charge, which contradicts the given setup.
Option c: C = 150t. This treats the total cost as 150 dollars per hour, far above the stated 10 dollars per hour, and also ignores the fixed start-up fee, so it is incorrect.
Option d: C = 10 + 15t. This assigns the 15 dollars as a per-hour charge and 10 as an initial fee, which reverses the roles of the fixed fee and hourly rate, making it incorrect.
Option e: C = 15(10 + t). This expands to 150 + 15t, which would give a 150 dollar fixed component plus 15 dollars per hour, not matching the described 15 dollar fixed fee and 10 dollars per hour.
In summary, the only expression that matches the described pricing model—an initial charge of 15 and an hourly charge of 10t—is C = 15 + 10t, which corresponds to option a.

MCD1550 / MCD2140 - T1 - 2025 TEST 1 (Week 4)

To rent a power tool from ACE Hire, there is an initial charge of $15 and then an additional charge of $10 per hour. If C is the cost in dollars and t is the time in hours, then the formula connecting C and t is:

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