Question

at an online store, each purchase earns the same number of points (called reward points). kareem has made 4 purchases and has earned 9.2 points.
(a) let n be the number of points earned with each purchase. 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 4 and 9.2.
(b) solve your equation for n to find the number of points earned with each purchase.

Explanation:

Part (a)

Step1: Identify the relationship

Each purchase gives \( n \) points, 4 purchases give a total of 9.2 points. So the equation is \( 4\times n = 9.2 \) (or \( 4n = 9.2 \)).

Step2: Fill the blanks

The form would be \( \boldsymbol{4} \times \boldsymbol{n} = \boldsymbol{9.2} \) (using the multiplication form since total points = number of purchases × points per purchase).

Part (b)

Step1: Start with the equation

We have the equation \( 4n = 9.2 \).

Step2: Solve for \( n \)

To isolate \( n \), divide both sides by 4: \( n=\frac{9.2}{4} \).

Step3: Calculate the value

\( \frac{9.2}{4}=2.3 \).

Answer:

(a) The equation is \( 4n = 9.2 \) (filling the blanks as \( 4 \times n = 9.2 \)).
(b) The number of points per purchase \( n = 2.3 \).