Question

I picked D but i want to make sure it is correct can some one help me?

A company is paying a local radio station to run its commercials. The cost for running commercials is a one-time campaign fee and also a per-second fee for the air time of each commercial. The cost can be modeled by the equation y = 250 + 100x, where x is seconds.

What is the slope, and what does it represent?

250; it represents the per-second fee of air time
250; it represents the one-time campaign fee
100; it represents the one-time campaign fee
100; it represents the per-second fee of air time

Answer 1

This equation is linear, which means that it goes up by the same amount every time you increase X by one.

The general form of a linear equation is
y=m∗x+b

where m is the slope and b is the y-intercept. The y-intercept indicates where the equation starts at x=0. In this case, it's 250, meaning that buying the commercial slot cost $250.

m, on the other hand, is the slope of the graph. Here we have 100, meaning that it costs $100 per second to run the commercial. This can be visualized like so:
y(0)=100∗0+250=250
y(1)=100∗1+250=350
As you can see, the cost went up by $100 after one second.

In general, the slope represents the amount added per time, whilst the y-intercept represents the initial amount.

Answer 2

So, yes your answer D would be correct! Good job!

Answer 3

Thank you