Question

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.

a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x dogs.

An expression is (
) dollars.


Question 2
b. What does the coefficient of the expression in part (a) represent?

the total cost (in dollars) of adopting one dog

the total amount (in dollars) the veterinarian is paid when one dog is adopted

the total cost (in dollars) of adopting x dogs

the total amount (in dollars) the animal shelter earns when x dogs are adopted

Answer 1

To calculate the cost of adopting x dogs from an animal shelter, you add together the cost of vaccinations, the cost of spaying or neutering, and the cost of a wellness exam for each dog. The expression in simplest form is 80x + 65x + 50x, which simplifies to 195x dollars. The coefficient of the expression 195x represents the total cost (in dollars) of adopting one dog.

Step-by-step explanation:

To calculate the cost of adopting x dogs from an animal shelter, you add together the cost of vaccinations, the cost of spaying or neutering, and the cost of a wellness exam for each dog. The expression in simplest form is 80x + 65x + 50x, which simplifies to 195x dollars. This means that the total cost of adopting x dogs is 195x dollars.

The coefficient of the expression 195x represents the total cost (in dollars) of adopting one dog. This is because the coefficient, 195, is multiplied by the variable x, which represents the number of dogs being adopted. So when x is equal to 1, the coefficient of 195 gives us the total cost of adopting one dog.