Question

The function a represents the cost of manufacturing product A, in hundreds of dollars, and the function b represents the cost of manufacturing product B, in hundreds of dollars.

a(t)=5t+2
b(t)=7t2-2t+4

Find the expression that describes the total cost of manufacturing both products, a(t) + b(t).

A. 7t2 + 7t - 6
B. 7t2 - 3t + 6
C. 7t2 - 7t + 2
D. 7t2 + 3t + 6

Answer 1

The answer is c)

Here’s why:

Answer 2

Answer: D.
`7t^2+3+6`

Explanation:

Given: The function 'a' represents the cost of manufacturing product A, in hundreds of dollars, and the function 'b' represents the cost of manufacturing product B, in hundreds of dollars.

`a(t)=5t+2\\\\b(t)=7t^2-2t+4`

The expression that describes the total cost of manufacturing both products will be ,

`a(t) + b(t)=5t+2+7t^2-2t+4`

Combining like terms, we get

`a(t) + b(t)=7t^2+5t-2t+4+2\\\\\Rightarrow\ a(t) + b(t)=7t^2+3+6`