A company is paying a local radio station to run its commercials. The cost for running commercials is a one-time campaign fee an
d 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? A. 250; it represents the per-second fee of air time B. 250; it represents the one-time campaign fee C. 100; it represents the one-time campaign fee D. 100; it represents the per-second fee of air time
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 <span>y=m∗x+b</span>
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:<span>y(0)=100∗0+250=250</span><span>y(1)=100∗1+250=350</span><span>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.</span>
We use addition because -16 is negative, and we need to cancel out its value so we add 16 to both sides, leaving 0+x, or x, on the left and combining like terms on the right.
