Question

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 3 to get a cost of $4.50 for 24 potatoes. how much will it cost fernando to buy 22 potatoes? how does this compare to your estimate? $4.13 the actual cost is slightly less than $4.50, which aligns with my estimate. part b how many potatoes could fernando buy with $7? what is the unit cost per potato?

Explanation:

Step1: Find unit - cost per potato

The cost of 8 potatoes is $1.50. The unit - cost $u$ per potato is calculated by dividing the total cost by the number of potatoes. So, $u=\frac{1.50}{8}= 0.1875$ dollars per potato.

Step2: Calculate number of potatoes with $7

Let the number of potatoes be $n$. We know that the total cost $C = nu$. Given $C = 7$ and $u=0.1875$, we can find $n$ by $n=\frac{C}{u}=\frac{7}{0.1875}=\frac{7}{\frac{3}{16}}=7\times\frac{16}{3}=\frac{112}{3}\approx37.33$. Since we can't buy a fraction of a potato, Fernando can buy 37 potatoes.

Answer:

37