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18. two college students decide to start a business. they will buy a ma…

Question

  1. two college students decide to start a business. they will buy a machine to fill balloon bouquets for special occasions. it will cost them $39.99 to buy a machine to fill the balloons with helium. they estimate that it will cost them $2.00 to buy the balloons, helium, and ribbons needed to make each balloon bouquet. which of the following equations could be used to model the total cost for producing b ballon bouquets?

circle your answer below:
a. ( y = 2.00b + 39.99 )
b. ( y = 37.99b )
c. ( y = 39.99b + 2.00 )
d. ( y = 41.99b )
e. ( y = 79.98b )

Explanation:

Step1: Identify the fixed cost and variable cost

The fixed cost is the cost of the machine, which is \( \$39.99 \). The variable cost is the cost per bouquet. Since it costs \( \$2.00 \) per bouquet (\( b \)), the variable cost for \( b \) bouquets is \( 2.00b \).

Step2: Use the total - cost formula

The total - cost formula is \( y=\text{variable cost}+\text{fixed cost} \). Substituting the values of variable cost and fixed cost into the formula, we get \( y = 2.00b+39.99 \).

Answer:

A. \( y = 2.00b + 39.99 \)