MHB How much would Mrs. Baker pay for 8 pounds of bananas?

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Mrs. Baker paid $2.50 for 5 pounds of bananas, establishing a cost of $0.50 per pound. The equation relating cost (c) to pounds (p) of bananas is C(p) = 0.50p. To find the cost for 8 pounds, the calculation shows C(8) = 0.50 * 8 = $4. This confirms that Mrs. Baker would pay $4 for 8 pounds of bananas. The discussion effectively demonstrates the relationship between cost and weight in a straightforward manner.
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Mrs. Baker paid 2.50 for 5 pounds of bananas. Write an equation relating the cost c to the number of pounds p of bananas.How much would Mrs. Baker pay for 8 pounds of bananas?

My Work:

2.50/c = 5/8

5c = 2.50 • 8

5c = 20

c = 4 dollars

Equation:

The cost per pound is 2.50 ÷ 5 = 0.50.

C(p) = 0.50p
 
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Looks good.
 
This is so cool. I am interested in the set up.
 
You answered the second question, "How much would Mrs. Baker pay for 8 pounds of bananas?" but did not do the first, "Write an equation relating the cost c to the number of pounds p of bananas."
 
HallsofIvy said:
You answered the second question, "How much would Mrs. Baker pay for 8 pounds of bananas?" but did not do the first, "Write an equation relating the cost c to the number of pounds p of bananas."

Actually, RTCNTC did, just in reverse order.

RTCNTC said:
Equation:

The cost per pound is 2.50 ÷ 5 = 0.50.

C(p) = 0.50p

We can actually now fill in the cost for 8 pounds of bananas:
$$C(8\text{ pounds}) = 0.50\frac{\text{£}}{\text{pound}} \cdot 8\text{ pounds} = 4\text{ £}$$
which agrees with the result RTCNTC found earlier.
 
Thank you everyone.
 
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