Question

joe has made 3 purchases from an online store. at the store, each purchase earns 2.8 points (called reward points).
(a) let n be the total number of points joe has earned. write an equation that can be used to find n. first choose an appropriate form. then fill in the blanks with the letter n and the numbers 3 and 2.8.
(b) solve your equation for n to find the total number of points joe has earned.

Explanation:

Part (a)

Step1: Identify the relationship

Total points (\( n \)) is the product of number of purchases (3) and points per purchase (2.8). So the relationship is \( \text{Total} = \text{Number of Purchases} \times \text{Points per Purchase} \).

Step2: Form the equation

Substituting the values, we get \( n = 3\times2.8 \).

Part (b)

Step1: Start with the equation

We have the equation \( n = 3\times2.8 \) from part (a).

Step2: Calculate the product

Calculate \( 3\times2.8 \). \( 3\times2 = 6 \) and \( 3\times0.8 = 2.4 \), then add them: \( 6 + 2.4 = 8.4 \). So \( n = 8.4 \).

Answer:

\( n = 3\times2.8 \) (or \( n\div3 = 2.8 \), \( n\div2.8 = 3 \), but the multiplication form is most direct as total points = number of purchases × points per purchase)