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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}

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.