Answer:
<em>The average rate of change is $25.5 per hour, option B.</em>
Step-by-step explanation:
<u>Average Rate of Change
</u>
When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from
to
. It can be computed as the slope of a line
.

The provided function is

We are required to compute the average rate of change between the points

Let's compute




The average rate of change is $25.5 per hour, option B.
Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
Answer:
The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".
Step-by-step explanation:
Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:
X = (8 x 10) + (H x (1.5 x 10))
X = 80 + 15H
Therefore, if Daisy works 13 hours, the equation works as follows:
X = 80 + 15x13
X = 80 + 195
X = 275
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