Question

this question has two parts. first, answer part a. then, answer part b. part a assess reasonableness on average, 8 potatoes cost $1.50 at a farmers market. fernando needs to buy 22 potatoes. estimate the cost of 22 potatoes. explain. because 8 potatoes cost $1.50, multiply by select choice to get a cost of select choice for 24 potatoes. how much will it cost fernando to buy 22 potatoes? how does this compare to your estimate? select choice the actual cost is select choice $4.50, which select choice with my estimate.

Explanation:

Step1: Find the cost - per - potato estimate

First, find the cost per potato when 8 potatoes cost $1.50. The cost per potato is $\frac{1.50}{8}\approx0.2$ (rounded for estimation).

Step2: Estimate the cost of 24 potatoes

Since we want to estimate for 24 potatoes and we know the cost for 8 potatoes is $1.50, we multiply by 3 (because $24\div8 = 3$). So the estimated cost for 24 potatoes is $1.50\times3 = 4.50$.

Step3: Find the actual cost per potato

The actual cost per potato is $c=\frac{1.50}{8}=0.1875$.

Step4: Find the actual cost of 22 potatoes

The actual cost of 22 potatoes is $0.1875\times22 = 4.125\approx4.13$.

Answer:

Because 8 potatoes cost $1.50, multiply by 3 to get a cost of $4.50 for 24 potatoes.
The actual cost of 22 potatoes is $4.13. The actual cost is less than $4.50, which is consistent with our estimate (since we over - estimated by using 24 potatoes instead of 22).