Question

Teresa has a dog-walking business. She charges her customers $8 each time she walks their dog. Teresa completes a maximum of 25 dog walks per month.

Teresa is considering raising her fee. After surveying several customers, she has determined that for every $1 increase in the cost of her service, she will lose 2 dog walks per month.

Write two expressions for this situation, one representing the new fee for walking and the other representing the resulting maximum number of dog walks Teresa completes each month. Assume that x represents the number of $1 increases in the fee for walking a dog.

Answer 1

Let's create the expressions for the new fee for walking dogs and the resulting maximum number of dog walks Teresa completes each month.

Expression for the new fee for walking dogs (y):
The current fee for walking a dog is $8. If Teresa decides to increase the fee by $1 for each walk, the new fee can be represented as:
y = 8 + 1x
Here, "x" represents the number of $1 increases in the fee, and "y" represents the new fee for walking a dog.

Expression for the resulting maximum number of dog walks per month (w):
Teresa currently completes a maximum of 25 dog walks per month. If for every $1 increase in the fee, she loses 2 dog walks per month, the resulting maximum number of dog walks per month can be represented as:
w = 25 - 2x
Here, "x" represents the number of $1 increases in the fee, and "w" represents the resulting maximum number of dog walks Teresa completes each month.

Using these expressions, Teresa can determine the new fee and how it will affect the number of dog walks she completes per month based on the number of $1 increases she chooses.

Answer 2

New Fee: (8+x) , Dog Walks: (25-2x)

Explanation: I'm currently working on the same question and my teacher confirmed that this is the answer.