Question

1. on average, 8 potatoes cost $1.50 at a farmer’s market. fernando needs 22 potatoes.

a. estimate the cost of 22 potatoes. (remember that estimation is not the same as actually solving) explain your estimation.
b. how much will it cost fernando to buy 22 potatoes? how does this compare to your estimate?

Explanation:

Step1: Find the cost per potato

The cost of 8 potatoes is $1.50. So the cost per potato is $\frac{1.50}{8}= 0.1875$ dollars.

Step2: Calculate the cost of 22 potatoes

Multiply the cost per potato by 22. So the cost is $0.1875\times22 = 4.125$ dollars.

Step3: Compare with the estimate

The estimate was $3.00. The actual cost of $4.125$ is higher than the estimate. The estimate was made by rounding 8 up to 10 and 22 down to 20, which made the calculation simpler but resulted in a lower - value estimate.

Answer:

a. The estimate: We rounded 8 potatoes to 10 and 22 potatoes to 20. Since 10 potatoes cost about $1.50, 20 potatoes would cost $1.50\times2 = $3.00.
b. The actual cost of 22 potatoes is $4.125. The actual cost is higher than the estimate.