Question

Answer all for Brainliest (easy math) 5 questions for 30 points

1.Students observing a caterpillar crawl on a tree noticed that the caterpillar crawled upwards 38 of an inch every minute. The caterpillar was already 4.5 feet off the ground when the students began observing.

Which function represents the total number of inches the caterpillar crawls after x minutes?

A. f(x)=4.5x+38
B. f(x)=38x+54
C. f(x)=38x+4.5
D. f(x)=54x+38
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2.Mario has a gift card with a balance of $50. He plans to buy movie tickets to treat himself and his friends. Movie tickets cost $8.25 each. The function that represents this situation is f(x)=50−8.25x. Mario plans to use his gift card to invite 6 friends to the movie.

Are Mario’s plans reasonable? Why or why not?

A.No, because the total cost is $57.75 which is more than the gift card balance.
B. Yes, because the total cost is $49.50 which is less than the gift card balance.
C. No, because the total cost is $49.50 which is less than the gift card balance.
D. Yes, because the total cost is $14.25 which is less than the gift card balance.
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3.A coffee shop has 40 pounds of coffee in stock. Just before their annual sales event, the manager orders another 120 pounds of coffee. The manager expects that the shop will sell 8 pounds of coffee each day for the next 5 days.

Which statements are true? Select ALL THAT APPLY

A. The amount of coffee remaining in the supply after five days should be 120 pounds.
B. The initial amount of coffee is 160 pounds.
C. The amount of coffee remaining in the supply after 5 days should be 200 pounds.
D. The rate of change is 8.
E. The initial amount of coffee is 120 pounds.
F. The rate of change is −8.
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4.The number of grams of a radioactive isotope present after t years is 1500(12)t. What does 1500 represent in this situation if t>0?

A. the number of grams of the radioactive isotope present after 2 years
B. the final number of grams of the radioactive isotope present
C. the original number of grams of the radioactive isotope present
D. the number of grams of the radioactive isotope present after 12 year
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5.A certain type of cell can double itself every hour, because it has a growth factor of 2. A laboratory has 15 of these cells.

Which function best models this situation?

A.f(x)=2⋅15x
B. f(x)=15⋅2x
C. f(x)=2x+15
D f(x)=15x+2

Answer 1

1) The caterpillar was already at 4.5 feet so 4.5 will be added. If it crawls upwards 38 of an inch every minute and the amount of minutes is not specified, this will be represented as 38x. That means the answer is C. f(x) = 38x + 4.5

2) Substitute the known values into the equation. There are 7 people at $8.25 a person, which is a total of $57.75 I used 7 because he invites 6 friends, plus himself. He only has $50 on his gift card, so he won't have enough to cover the cost. The answer is A.

3) They start out with 40lbs and recieve 120 more. They have 160lbs in total. If they sell 8lbs a day for 5 days, thats 8*5 or 40lbs total. 160 - 40 = 120lbs left after 5 days. I'd say the answers are A, B, and D.

4) I think the answer would be C because 1,500 is used to find the number of grams of isotope present after t years. The number of grams can't be 1,500. I hope that makes sense because I'm not sure how to explain it.

5) The growth factor is 2 (2x, x being the number of hours). Multiply by 15 because the lab has 15 of them. The answer is B. f(x) = 15 * 2x

I hope this helps you! I'm sorry if I got any of them wrong!