Question

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.

Answer 1

Kindly check explanation

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.