Question

State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of admission admission is ​$4848 for forfour pets pets and ​$9696 for eighteight pets pets. Determine the independent variable.

Answer 1

We have been given that the cost of admission is ​$48 for four pets and ​$96 for eight pets. We are asked to determine the independent variable and the dependent variable in the given linear relationship.

We can see that as the number of pets is increasing cost of admission is also increasing. This means that cost depends on number of pets.

Therefore, cost of admission is dependent variable and number of pets is independent variable.

To find rate of change, we will use slope formula.

We have been given two points on line that are (4,48) and (8,96).

$m=\frac{y_2-y_1}{x_2-x_1}$

Upon substituting the coordinates of our given points in slope formula, we will get:

$m=\frac{96-48}{8-4}$

$m=\frac{48}{4}$

$m=12$

Therefore, the rate of change is $12 per pet.