1. A company is deciding whether or not to hire a new worker. The company must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y = 8x + 25, where x is hours.
What is the y-intercept, and what does it represent?
a) 8; it represents the hourly wage for the worker
b) 8; it represents the cost for insurance
c) 25; it represents the cost for insurance***
d) 25; it represents the hourly wage for the worker
2.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?
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
right on first, on second d.
Thanks
1. The y-intercept of the given function y = 8x + 25 is 25. The y-intercept represents the fixed cost or base cost, which in this case is the cost for insurance.
Therefore, the correct answer is c) 25; it represents the cost for insurance.
2. The slope of the given function y = 250 + 100x is 100. The slope represents the rate of change or the cost per unit, which in this case is the per-second fee for the air time of each commercial.
Therefore, the correct answer is d) 100; it represents the per-second fee of air time.
1. In order to find the y-intercept, we need to look at the equation y = 8x + 25. The y-intercept is the value of y when x is equal to 0. So, when x = 0, we can substitute it into the equation:
y = 8(0) + 25
y = 0 + 25
y = 25
Therefore, the y-intercept is 25.
Now let's determine what it represents:
In the context of the problem, the y-intercept of 25 represents the daily cost for insurance. This means that even if the worker doesn't work any hours, the company still needs to pay $25 for insurance expenses.
Therefore, the correct answer is c) 25; it represents the cost for insurance.
2. Similar to the previous question, we need to find the slope and understand its meaning. The equation given is y = 250 + 100x, where x represents the number of seconds.
The slope of an equation in the form y = mx + b represents the cost per unit change in x. In this case, the slope is 100.
Therefore, the slope of 100 represents the per-second fee of air time. It tells us that for every additional second of air time, the cost increases by $100.
Therefore, the correct answer is d) 100; it represents the per-second fee of air time.