Question

1. terrell arranges x roses at $3.50 each with 10 carnations at $2.25 each. he makes a bouquet of flowers that averages $3.00 per flower. select the equation that models the situation.

a 3.50x + 2.25(10) = 3(x + 10)
b 3.50x + 2.25 = 0.75x
c 3.50x + 3 = 22.5(x + 10)
d 3.50x + 2.50 = 0.75(x + 10)

Explanation:

Step1: Calculate the total cost of roses and carnations

The cost of \(x\) roses at \(\$3.50\) each is \(3.50x\). The cost of \(10\) carnations at \(\$2.25\) each is \(2.25\times10\). So the total cost of all flowers is \(3.50x + 2.25\times10\).

Step2: Calculate the total number of flowers and the total cost based on the average

The total number of flowers is \(x + 10\). Since the average cost per flower is \(\$3.00\), the total cost based on the average is \(3(x + 10)\).

Step3: Set up the equation

Since the total cost of roses and carnations is equal to the total cost based on the average, we have the equation \(3.50x+2.25(10)=3(x + 10)\).

Answer:

A. \(3.50x + 2.25(10)=3(x + 10)\)