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Leona [35]
2 years ago
8

Nola purchased 2.5 pounds of cheese for 10.50. Her mother purchased 3pounds of the same cheese for$12.60. The cost of cheese var

ies directly with the number of pounds purchased. How much does one pound of cheese cost?
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

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Answer:

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Part 2) \$25,000

Step-by-step explanation:

Let

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x ----> the number of months

we know that

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y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

<em>Herman</em>

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The y-intercept is b=\$15,000

substitute

y=1,000x+15,000 ----> equation A

<em>Jackie</em>

The slope is equal to m=\$1,300\ per\ month

The y-intercept is b=\$12,000

substitute

y=1,300x+12,000 ----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

1,300x+12,000=1,000x+15,000

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300x=3,000

x=10\ months

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

y=1,000(10)+15,000=\$25,000

equation B

y=1,300(10)+12,000=\$25,000

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