At an online store, each purchase earns the same number of points (called reward points). Josh has made 3 purchases and has earned 7.8 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 3 and 7.8.
(b)Solve your equation for n to find the number of points earned with each purchase.
(a) The equation can be written in the form nx = y, where n is the number of points earned with each purchase, x is the number of purchases, and y is the total number of points earned.
The equation can be filled in as follows:
3n = 7.8
(b) To solve the equation for n, divide both sides of the equation by 3:
3n/3 = 7.8/3
n = 2.6
Therefore, the number of points earned with each purchase is 2.6.
can you show me how you divided it?
Apologies for not showing the division steps before. Here is the equation with the division shown:
3n = 7.8
Divide both sides of the equation by 3:
3n/3 = 7.8/3
On the left side of the equation, the 3's cancel out:
n = 7.8/3
Now perform the division on the right side of the equation:
n = 2.6
So the number of points earned with each purchase is 2.6.
(a) Let's choose an appropriate form for the equation. Since the number of points earned with each purchase is the same, we can use the equation: total points earned = number of purchases * points earned per purchase.
In this case, Josh has made 3 purchases and has earned 7.8 points. So, the equation can be written as follows:
7.8 = 3 * n, where n represents the number of points earned with each purchase.
(b) To solve the equation for n, we need to isolate n on one side of the equation.
Divide both sides of the equation by 3:
7.8/3 = n
Calculate the result:
n ≈ 2.6
Therefore, the number of points earned with each purchase is approximately 2.6.
(a) Let's assume that each purchase earns n points. Since Josh has made 3 purchases and has earned 7.8 points, we can set up the equation as:
3n = 7.8
Here, 3 represents the number of purchases and n represents the number of points earned with each purchase.
(b) To solve the equation for n, we need to isolate it on one side. We can do that by dividing both sides of the equation by 3:
3n / 3 = 7.8 / 3
Simplifying this equation gives us:
n = 2.6
Therefore, the number of points earned with each purchase is 2.6.