Given:
Alan salary P (in dollars) when he works h hours is represented by the equation
To find:
The earning per hour.
Solution:
We have,
Here, P is total salary and h is number of hours he works.
Therefore, the earning per hour is $12.50.
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95
1 answer:
The profits at x = $185 is 0 and the graph is attached below:
<h3>What is graph?</h3>Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)
The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.
The profits reach a maximum at $140 and then the profits start to reduce as x increases again.
So, the profits at x = $185 is 0.
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Answers and Step-by-step explanations:
1. We need to plug in values of x into the functions f(x) and g(x):
f(2) = 2.5 * 2 - 10.5 = -5.5 g(2) = = 16
f(3) = 2.5 * 3 - 10.5 = -3 g(3) = = 8
f(4) = 2.5 * 4 - 10.5 = -0.5 g(4) = = 4
f(5) = 2.5 * 5 - 10.5 = 2 g(5) = = 2
f(6) = 2.5 * 6 - 10.5 = 4.5 g(6) = = 1
2.
(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.
(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.
3.
(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).
(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.
(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.