The number of skateboards that can be produced by a company can be represented by the function f(h) = 325h, where h is the number of hours. the total manufacturing cost for b skateboards is represented by the function g(b) = 0.008b2 + 8b + 100. which function shows the total manufacturing cost of skateboards as a function of the number of hours?

Step-by-step explanation:

*The function g(b) shows the cost per b produced skateboards.

*The function f(h) tells us the number of skateboards produced as a function of time.

To find a function that shows the manufacturing cost of skateboards produced as a function of the number of hours we must find g(f(h)).

That is, we must introduce the function f(h) within the function g(b), making b = f(h)

So:

Finally, the function wanted is:

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!