Answer:
Total height lowered = 75m
No of times balloon lowered = 5
Height lowered in each lowering = Total height lowered / No of times balloon lowered
= 75 / 5
= 15 m
The number indicated that each time balloon is lowered by 15 m
Answer: 
(Choice A)
Work Shown:
Explanation: I started with the point-slope form. Then I plugged in the given slope m = 1/2 and the point (x1,y1) = (2,4). Afterward I solved for y.
The answer is in slope-intercept form y = mx+b
The answer for your question is q=2
Answer: the expression for the combined total number of miles she biked in the two days is
117 - 5x miles
Step-by-step explanation:
Let x be the number of hours she biked yesterday.
In the two days, she biked for a combined total time of 9 hours. This means that the number of hours that she biked today is (9 - x) hours.
Distance = speed × time
Yesterday, Carmen went on a bike ride. Her average speed was 8 miles per hour. This means that the distance that she covered yesterday is 8x miles
Today, she went on another ride, this time averaging 13 miles per hour. This means that the distance that she covered today is 13(9 -x) miles.
An expression for the combined total number of miles she biked in the two days is
8x + 13(9 - x)
= 8x + 117 - 13x
= 117 - 5x
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
The value of x is 2.5.
The price of the cake should be 25 - 2.5 = 22.5.
Thus, the price of the cake that will give the maximum potential revenue is $22.5.
