A group of friends share a large popcorn at the movies. It costs $3.15 to buy it and $0.85 for each refill. If they spent $7.40, how many times did the group of friends refill their popcorn?

They refilled their popcorn 5 times.

Step-by-step explanation:

First, set up an equation.

y = mx + b

y is the total money spent

m is the cost for each refill

x is the amount of times the popcorn is refilled

b is the start price / the price to buy the popcorn

7.40 = (0.85)x + 3.15

To solve for x, first subtract 3.15 from both sides.

4.25 = 0.85x

Now to isolate x, divide both sides by 0.85.

x = 5

They refilled their popcorn 5 times.

Before moving on, check your answer by plugging in x = 5 into the original equation.

7.40 = (0.85)(5) + 3.15

7.40 = 4.25 + 3.15

7.40 = 7.40

Your answer is correct.

center= (-2,0)

radius= sqrt2/2

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