Answer:
See answers and explanations below
Step-by-step explanation:
Problem 1:
You already have the number of seats as y=416. You just need to solve for x as shown below:
f(x)=2x^2-6x
416=2x^2-6x
0=2x^2-6x-416
Once you solve using the quadratic formula, you'll get two solutions, x=16 and x=-13. We can't have negative seats, so we'll choose D) x=16 as our solution.
Problem 2:
The slope of the line would be (y2-y1)/(x2-x1)=(14-0)/(0-4)=14/-4=-7/2. The y-intercept is found when x=0 or when the function touches the y-axis. In this case, the y-intercept is 14. This means A is the correct answer.
Problem 3:
Just plug in whole number integers from x=0 to x=6 to represent the number of plates. You'll find out that the range of the function would be B) {4, 24, 44, 64, 84, 104, 124}
