Question

You are participating in a fund-raiser in which you run for donations. People can donate money based on a flat fee or based on the number of miles you run. So far, you have two donors. Your grandma has agreed to donate $25, and your mom has agreed to donate $2.10 per mile. If together they donated $43.90, what equation represents this situation?

A. (2.10x + 25 = 43.90)
B. (43.90x = 25 + 2.10)
C. (25x + 2.10 = 43.90)
D. ((25 + 2.10)x = 43.90)

Answer 1

The equation that represents this situation is A. (2.10x + 25 = 43.90). To solve for x, subtract 25 from both sides of the equation, simplify, and then divide by 2.10. The value of x is approximately 9 miles.

Step-by-step explanation:

The equation that represents this situation is A. (2.10x + 25 = 43.90). Here's how to solve it:

1. Let x represent the number of miles you run.
2. Your mom's donation based on the number of miles can be expressed as 2.10x.
3. Add your grandma's flat fee of $25 to your mom's donation to get the total amount donated: 2.10x + 25.
4. Set the total amount donated equal to $43.90: 2.10x + 25 = 43.90.
5. Now, solve for x by subtracting 25 from both sides of the equation: 2.10x = 43.90 - 25.
6. Simplify the equation: 2.10x = 18.90.
7. Finally, divide both sides of the equation by 2.10 to solve for x: x = 18.90 / 2.10.
8. You'll find that x is approximately 9 miles.