Question

Kacie decides to apply for a credit card. The credit card promotion offers a discount on all purchases made with the card. The discount (D) is directly proportional to the size (s) of the purchase. If the discount is $1.75 on a $14 purchase, answer the following questions:

1. Write a general variation equation relating D and s.
2. Find the constant of variation.
3. Write a specific variation equation that models the situation.
4. How much would you save on a $194 purchase?
5. What is the constant of variation in the formula V = -ar*h?

Answer 1

The answer provides a step-by-step explanation for finding the general variation equation, the constant of variation, and the specific variation equation in a credit card promotion situation. It also calculates the amount saved on a specific purchase and clarifies the lack of relevance of a formula mentioned in the question.

Step-by-step explanation:

1. General variation equation:

D = ks

2. Finding the constant of variation:

To find the constant of variation (k), we can use the given information. The discount is $1.75 on a $14 purchase. We can substitute these values into the general variation equation:

1.75 = k(14)

Divide both sides of the equation by 14 to solve for k:

k = 1.75/14

3. Specific variation equation:

Using the value of k found in the previous step, we can rewrite the general variation equation as:

D = (1.75/14)s

4. Saving on a $194 purchase:

To find the discount on a $194 purchase, we can substitute this value into the specific variation equation:

D = (1.75/14)(194)

Simplify the expression to find the amount saved:

D = 24.625

5. Constant of variation in V = -ar*h:

The formula V = -ar*h is not related to the credit card promotion situation described in the question. Therefore, there is no relevant constant of variation in this formula.