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Finger [1]
3 years ago
12

On average, a gym claims that 85% of its members renew their memberships every year. If the gym has 400 members, predict how man

y will renew their membership. Is the gym’s claim accurate if 330 members renew their memberships? Explain.
Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer:

340 people would renew their membership if the gym had 400 members

The gym's claim is not accurate, because the prediction should be 340 people instead of 330

Step-by-step explanation:

With 400 members, we can predict how many will renew their membership by multiplying 400 by 0.85:

400(0.85)

= 340

So, this would predict that 340 people would renew their membership.

The gym's claim that 330 members would renew their memberships is not accurate, because the correct prediction should be 340 people.

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but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:

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so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.

$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"

with that information, write any other equation you would for a word problem:

y = 25x + 1500

that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.

and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.

y = 25x + 1500

when x = 1...
y = 25(1) + 1500
y = 25 + 1500
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ordered pair: (1, 1525)

when x = 2...
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ordered pair: (2, 1550)

when x = 3...
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y = 1575
ordered pair: (3, 1575)

i hope that helped!!
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Answer:

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