Question

A website-hosting service charges businesses a one-time setup fee of $75 plus $15 for each month. If a business owner paid $1,000 for the first m months, which of the following equations models this situation?

a) 75 + 1000 = 15m
b) 15 + 75m = 1000
c) 75 + 15 = 1000
d) 15m + 75 = 1000

Answer 1

The equation that models this situation is d) 15m + 75 = 1000. To solve this equation, subtract 75 from both sides, then divide both sides by 15 to find the value of m.

Step-by-step explanation:

The equation that models this situation is d) 15m + 75 = 1000.

To solve this equation, we need to isolate the variable m.

1. Start by subtracting 75 from both sides of the equation: 15m + 75 - 75 = 1000 - 75.
2. This simplifies to 15m = 925.
3. Finally, divide both sides of the equation by 15 to solve for m: 15m/15 = 925/15.
4. This simplifies to m = 61.67.

The value of m represents the number of months the business owner paid for.