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.
Answer:
x = - and y =
Step-by-step explanation:
2x + 5y = 11
7x + 4y = 2
Let's try elimination here since we have a system of equations:
-7(2x + 5y = 11) = -14x - 35y = -77
and
2(7x + 4y = 2) = 14x + 8y = 4
The <em>x</em>'s cancel out now so let's combine the two equations:
-35 + 8 = -27
-77 + 4 = -73
-27y = -73
y =
Now that we have <em>y</em>'s value, let's plug that value in for <em>y</em> in the other equation. You may choose whichever equation you want to solve for <em>x</em> but it is recommended to use the easiest one. (Since this value is complicated, it won't really matter.)
2x + 5() = 11
2x + = 11
2x = -
x = -
To check and make sure you have the correct values, plug both values into the orginal equation and make sure the equation is true.