Jen has 2 meters of taffy. She wants to give each of her 3 best friends an equal amount of taffy. How many centimeters of taffy
1 answer:
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a) 75 percent of the regular price is the price for senior citizens.
b) $6.712 is the price for senior citizens.
<u>Step-by-step explanation</u>:
- The regular price is the 100% = $8.95
- The offer price for senior citizen = 15% discount from 100%
∴ Percent of the regular price for senior citizens = 100% - 15% = 75%
The price for the senior citizens = 75% of $8.95
⇒ (75/100)8.95
⇒ 0.758.95
⇒ 6.712 dollars.
∴ The price for senior citizens = $6.712
First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is 
. Set the derivative equal to 0 and factor to find the critical numbers. 
, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.