Helpp!!!!!!!!!!!!!!!!!....
1 answer:
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You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:
Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
p/2 - l = w
You replace w with the equation above p/2 - l = w
Multiply out the L.
Plug in all your numbers a = 110 and p = 42
Move everything to the left side so
Factor.
Make each parenthesis set equal to 0.
Add.
By doing this you solve for both the width and length so the answer is:
w = 11 L = 10
Firts we need to find the rate of change, or in other words, the slope of the line.
Question 1:
a)
For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)
The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)
b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:
In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:
c) "The rate of change in Gary's salary is $1340 per year."
Question 2:
a) The slope intercept form of a line is:
Where:
y is the output of the function.
x is the input of the function. (we provide the function with a value for x and the function give us a value of y)
m is the slope of the line. We calculate it in question 1.
x1 is the x coordinate of a point we choose.
y1 is the y-coordinate of the same point of x1.
In this case, we know:
m = 1340;
And we can take the point (0, $58,550), thus:
x1 = 0
y1 = 58,550
b) Now we need to use all this values and use the slope-intercept form:
And solve to get:
Question 3:
a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:
B) The salary of Gary in 13 years will be $75,970.