The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of m
oney he earns. The table shows the amount of money Carl earns for different numbers of hours worked. Carl’s Earnings Time (h) 3 5 8 10 Money earned ($) 42 70 112 140 (a) How much money does Carl earn per hour? Show your work. (b) Who earns more per hour? Justify your answer. (c) Draw a graph that represents Carl’s earnings over time in hours. Label the axes
1 answer:
Answer:
See explanation
Step-by-step explanation:
The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of money he earns. When x = 1 hour, y = 11, so Louis earns $11 per hour
Carl's earning
A. Since
Carl earns $14 per hour.
B. Carl earns $14 per hour
Louis earns $11 per hour.
Carl earns $3 more per hour.
C. Plot points from the table on the coordinate plane and connect them with the straight line - this is the graph that represents Carl’s earnings over time in hours.
You might be interested in
Answer:
Step-by-step explanation:
First, let's change those variables to x and y, just for the sake of convenience. In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y. Letting y = A(n) and x = n (we will switch them back when we're done):
y = 3x - 20. This is linear; a line with a slope of 3 and a y-intercept of -20. When we switch the x and the y, we get:
x = 3y - 20. Now we solve for the new y. Begin by adding 20 to both sides:
x + 20 = 3y. Now divide both sides by 3:
, or to write it in slope-intercept form, like the function you started with:
This is also a line, with a slope of 1/3 and a y-intercept of +20/3
Now, replacing:
That is how to write the inverse using function notation. The little -1 as an exponent tells us that this is the inverse of the function A(n).
Answer:
Average rate of change =
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change =
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change =
=
=
Therefore, average rate of change in the given interval is .
As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.
The volume of a sphere is computed as
So, the volume of a quarter-sphere is