Question

The total cost for Sophia to build b birdhouses is represented by the function f(b)=3.5b+24.

What does the value 3.5 represent in this situation?




The total cost to build b birdhouses is $3.50.

The initial cost is $3.50.

For each birdhouse built, the total cost increases by $3.50.

For each birdhouse built, the total cost decreases by $3.50.

Answer 1

For each birdhouse built, the total cost increases by $3.50.

Explanation:

The number 3.5 multiplies b, so when b increases by 1, f(b) increases by 3.5. Making 1 more birdhouse increases the total cost by $3.50.

Answer 2

Answer: For each birdhouse built, the total cost increases by $3.50.

Explanation:

Given: The total cost for Sophia to build b birdhouses is represented by the function
`f(b)=3.5b+24`

We can see in the function 3.5 is multiplied to b, so when b increases , f(b) increases by 3.5.

`f(1)=3.5(1)+24=3.5+24=27.5`

`f(2)=3.5(2)+24=7+24=31`

`f(3)=3.5(3)+24=10.5+24=34.5`

and
`f(2)-f(1)=f(3)-f(2)=3.5`

Therefore, the value of 3.5 represents that for each birdhouse built, the total cost increases by $3.50.