Chapter 6, Problem 7CCSR

To determine

To find: The value in the range of the function that gives the bouquet’s cost in terms of the number of roses.

Answer to Problem 7CCSR

C. $34

Explanation of Solution

Given information: Marisa’s Flower Shop charges $3 per rose plus $16 for a delivery. Chris wants to have a bouquet of roses delivered to his mother.

Calculation:

Let Chris gives x number of roses to his mother and y be the total charges.

Then, the function of the total charges is defined by,

  $y=3x+16$

Putting the values of range in the function,

A. $y=3x+16\Rightarrow 16=3x+16\Rightarrow x=0$

But, 0 numbers of roses cannot be delivered.

So, $16 cannot be in the range of the function.

B. $y=3x+16\Rightarrow 27=3x+16\Rightarrow x=\frac{11}{3}$

But, fraction number of roses cannot be delivered.

So, $27 cannot be in the range of the function.

C. $y=3x+16\Rightarrow 34=3x+16\Rightarrow x=6$

6 numbers of roses can be delivered.

So, $34 can be in the range of the function.

D. $y=3x+16\Rightarrow 48=3x+16\Rightarrow x=\frac{32}{3}$

But, fraction number of roses cannot be delivered.

So, $48 cannot be in the range of the function.

Hence, C. $34 is in the range function that gives the bouquet’s cost in terms of the number of roses.