C.5.5
The constant rate of change (m)is the same as constant of proportionality so y=Mx+b rate of change would be m. In this case 5.5
Answer:
x= 2/3
Step-by-step explanation:
When it is perpendicular, the slope is the negative reciprocal so it would equal -3/2x. Plug in the points to the equation so you can find the intercept. -8=-3/2(4)+b
Combine: -8=-6+b
Add 6: -2=b
The equation would be f(x)=-3/2x-2
Hope this helped and sorry if I am wrong!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
<u>Given line</u>
<u>In slope-intercept form it is</u>
- - x + 7y = 42
- 7y = x + 42
- y = 1/7x + 6
<u>Perpendicular line has slope - 1/(1/7) = - 7 and its equation is:</u>
<u>Finding b using the point (-2, -1)</u>
- -1 = -7(-2) + b
- -1 = 14 + b
- b = -1 - 14
- b = -15
<u>So the line is</u>
A) The revenue = Price (p) * Quantity sold (x)
From the inequality p = 1, 2, 3 ...18
The revenue as a function of quantity sold = R(x)
But R = p * x = px
And x = -8p + 144.
Hence we have R(x) = p( -8p + 144) = - 8p^2 + 144p where p lies between 1 and 18.
B) If the quantity sold, x, is 88 then 88 = -8p + 144; -8p = 88 - 144. We have that p = 7
Then it follows that revenue = 7 * 88 = 616
C) Since R (x) = - 8p^2 + 144p Then dr/dx = -16x + 144. Then we set dr/dx
= 0. So x = 144/ 16 = 9
Then we use x to calculate p as follows. 9 = -8p + 144. Hence p = 135/8 = 16.875
At maximum revenue we have R(x) = - 8(16.875)^2 + 144(16.875) = -2278.56 + 2345.56 = $66.48
D) From C) The company should charge 16.875.
If R = 520. Then 520 = -8p^2 + 144p
So -8p^2 + 144p - 520 = 0
From the quadratic equation our equation becomes x1 = 13 and x2 = 5. We simply substitute
-8(13)^2 + 144(13) - 520 = 0. Hence our answer is 13