Answer: negative square root of two over 2 and tan theta is -1
Step-by-step explanation:
Did it on edge and got it right
To get the *percent increase* from week 1 to week 2, we calculate the change in distance from week 1 to week 2 (13.5 - 12.5 = 1 mile) over the week 1 distance (12.5 miles). Doing that, we find that Matthew increased his distance by
1/12.5 = 0.08, or 8%
We’re given that he’ll increase his distance by the same percentage from week 2 to 3, so to find his week 3 distance, we can find 8% of the week 2 distance and add that on. 8% of 13.5 miles is 0.08 x 13.5 = 1.08 miles, so by week 3, he’ll be running 13.5 + 1.08 = 14.58 miles.
The equation you would use to find her earning for the week would be:
y=0.03(x-1000)+150
This would mean she made $66 from commissions and $216 total.
Average rate of change from x = -3 to x = 1 is (f(1) - f(-3))/(1 - (-3)) = (5 - (-3))/(1 + 3) = (5 + 3)/4 = 8/4 = 2
