Question

Sara's cat-walking service charges a flat rate of $15 per month, plus $2 per mile that each cat is walked. Nicole charges a flat rate of $10 per month plus $4 per mile that each cat is walked. Write and solve an equation to find the number of miles m for which Sara and Nicole would charge the same amount.

A) 15+2m=10+4m

B) 15+4m=10+2m

C) 10+2m=15+4m

D) 10+4m=15+2m

Answer 1

The correct answer is option A) 15+2m=10+4m. To find the number of miles m for which Sara and Nicole would charge the same amount, set up the equations for each and then set them equal to each other. The solution is m = 2.5 miles.

Step-by-step explanation:

The correct answer is option A) 15+2m=10+4m

To find the number of miles m for which Sara and Nicole would charge the same amount, we need to set up an equation. Let's use the given information:

Sara charges a flat rate of $15 per month, plus $2 per mile that each cat is walked. So, her equation is: 15 + 2m.

Nicole charges a flat rate of $10 per month, plus $4 per mile that each cat is walked. So, her equation is: 10 + 4m.

To find the number of miles m that make the charges the same, we set the two equations equal to each other: 15 + 2m = 10 + 4m.

Solving for m, we get: 15 + 2m - 2m = 10 + 4m - 2m, which simplifies to: 15 = 10 + 2m.

Subtracting 10 from both sides, we get: 5 = 2m. Finally, dividing both sides by 2, we find that m = 5/2 or 2.5 miles.