An electronics company is changing its internet advertising from a banner advertisement to a pop-up advertisement. The cost of the banner advertisement in dollars is represented by the function C(n) = 0.30n + 5.00 where 'n' is the average number of hits per hour and $5.00 is just a flat-rate cost. 1.) The cost of the pop-up advertisement will double the cost per hit. The equation for this new cost function will be D(n) =

2.) This change does/does not shift the function vertically and/or horizontally.

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Step-by-step explanation:

Given that:

Cost function of banner advertisement:

C(n) = 0.30n + 5.00

n = average number of hits per hour

5 = flat rate

From the function, C(n), the cost per hit is the slope value of the function ; which is 0.30

1.) If the cost of pop-up advert will double the cost per hit, the cost function for pop-up advert will be :

D(n) = 2(0.30n) + 5

D(n) = 0.60n + 5.00

B.) This change in cost per hit has resulted in change in slope which is defined as :

[Rise / run = vertical change / horizontal change].

Hence, both vertical and horizontal change has occurred.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

1st part is 64,000,000

2nd part 500,000

step-by-step explanation: