Question

at an online store, each purchase earns the same number of points (called reward points). ali has made 5 purchases and has earned 6.5 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 the blanks with the letter n and the numbers 5 and 6.5. (b) solve your equation for n to find the number of points earned with each purchase.

Explanation:

Part (a)

Step1: Determine the relationship

Since each purchase earns \( n \) points and there are 5 purchases, the total points are \( 5\times n \), and this equals 6.5. So the appropriate form is multiplication.

Step2: Write the equation

Using the multiplication form, we have \( 5\times n = 6.5 \) (or \( 5n = 6.5 \)).

Step1: Start with the equation

We have the equation \( 5n = 6.5 \) from part (a).

Step2: Solve for \( n \)

To solve for \( n \), divide both sides of the equation by 5: \( n=\frac{6.5}{5} \).

Step3: Calculate the value

\( \frac{6.5}{5}=1.3 \).

Answer:

The equation is \( \boldsymbol{5\times n = 6.5} \) (or \( \boldsymbol{5n = 6.5} \))

Part (b)