Answer:
the order is the option a. the smallest is T and the largest is S
<h3>
So the equation which will tell the amount of water is</h3><h3>
W= 24 + 32 T</h3>
Step-by-step explanation:
Given,
A water tank already contain 24 gallons of water before the pump was switched to fill it. The pump started 10:00 am and by 10:30 am the tank contained 40 gallons of water . By 1:00 pm the tank contained 120 gallons of water.
The pump filled the tank (40 -24) = 16 gallons in 30 mins.
The pump filled (16 × 2 ) gallons =32 gallons in 1 hour.
So the equation which will tell the amount of water is
W= 24 + 32 T
Answer:
Each minute Seung fills one less bag than Razi.
Step-by-step explanation:
Find the rate of change.
<u>Razi's rate of change:</u>
<u>Seung's rate of change:</u>
This means Razi packs 4 bags per minute, Seung packs 3 bags per minute.
<u>Difference</u> = 4 - 3 = 1 bag
Each minute Seung fills one less bag than Razi.
Answer:
<em>3.75x = 450 + 1.50x</em>
<em>They should sell 200 bags of popcorn to break even</em>
Step-by-step explanation:
<u>Business Modeling</u>
When modeling the operation of a business, there are some magnitudes that should be managed to properly control the profits of the business. Those magnitudes are Costs, Revenue, and Profits.
The profit is the difference between the costs and the revenue as follows:
P(x) = R(x) - C(x)
Where x is the number of units produced and sold.
The break-even level is the value of x that produces zero profits, i.e.,
R(x) = C(x)
The costs associated to sell popcorn consist of a fixed amount of $450 plus a variable cost of $1.50 for every popcorn. Thus the total cost function is:
C(x) = 450 + 1.50x
The income or revenue is the selling price times the number of popcorns:
R(x) = 3.75x
The break-even level can be calculated by solving the equation:
3.75x = 450 + 1.50x
Solving the equation:
3.75x - 1.50x = 450
2.25x = 450
x = 450/2.25
x = 200
They should sell 200 bags of popcorn to break even
If you would like to know what percent of their games did Brendan's team win, you can calculate this using the following steps:
x% of 20 games is 18 games
x% * 20 = 18
x/100 * 20 = 18
x = 18 * 100 / 20
x = 90%
The correct result would be 90%.
