Question

1. write an algebraic expression that marshall can use to determine the total cost of buying a watermelon that weighs w pounds and some tomatoes that weigh t pounds. how much will it cost to buy a watermelon that weighs 18\frac{1}{2} pounds and 5 pounds of tomatoes?

watermelons $0.68 per lb
tomatoes $3.25 per lb

Explanation:

Step1: Define the cost function

The cost of the watermelon is $0.68 per pound, so for LXI0 pounds, it's LXI1. The cost of tomatoes is $3.25 per pound, so for \( t \) pounds, it's \( 3.25t \). The total cost \( C \) is \( C = 0.68w + 3.25t \).

Step2: Substitute the values

Given \( w = 18\frac{1}{2}=\frac{37}{2} = 18.5 \) and \( t = 5 \). Substitute into the formula: \( C = 0.68\times18.5 + 3.25\times5 \).

Step3: Calculate each term

First, \( 0.68\times18.5 = 12.58 \). Second, \( 3.25\times5 = 16.25 \).

Step4: Sum the results

Add the two results: \( 12.58 + 16.25 = 28.83 \).

Answer:

The total cost is \(\$28.83\)