Nancy has a bank account that has a balance of $320 and allows for a maximum of 6 deposits per month. She has decided that each
time she deposits money into her account, she will deposit $20. If Nancy makes x deposits into her bank account in a month, her account balance can be represented by the function f(x)= 20x+320.What is the range of the function for this situation?
1 answer:
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Step-by-step explanation:
We have to find the point in the feasible region which maximizes the objective function. To find that point first we need to graph the given inequalities to find the feasible region.
Steps to graph 3x + y ≤ 12:
First we graph 3x + y = 12 then shade the graph for ≤.
plug any value of x say x=0 and x=2 into 3x + y = 12 to find points.
plug x=0
3x + y = 12
3(0) + y = 12
0 + y = 12
y = 12
Hence first point is (0,12)
Similarly plugging x=2 will give y=6
Hence second point is (2,6)
Now graph both points and joint them by a straight line.
test for shading.
plug any test point which is not on the graph of line like (0,0) into original inequality 3x + y ≤ 12:
3(0) + (0) ≤ 12
0 + 0 ≤ 12
0 ≤ 12
Which is true so shading will be in the direction of test point (0,0)
We can repeat same procedure to graph other inequalities.
From graph we see that ABCD is feasible region whose corner points will result into maximum or minimu for objective function.
Since objective function is not given in the question so i will explain the process.
To find the maximum value of objective function we plug each corner point of feasible region into objective function. Whichever point gives maximum value will be the answer
Answer:
Edgardo would use the container <u>160 times</u> to fill.
Step-by-step explanation:
Given:
Edgardo uses a container to fill the 10 gallon cooler.
If he uses a one cup container.
Now, to find the times it would take to fill the 10 gallon container.
As, the capacity of container = 1 cup.
And, the capacity of cooler = 10 gallon.
So, we use conversion factor to find the times the container to fill the cooler:
1 gallon = 16 cups.
10 gallon =
10 gallon = 160 cups.
<u><em>Thus, to fill the 10 gallon cooler 160 cups of container needed.</em></u>
<u><em>And, the container is of 1 cup.</em></u>
So, to get the times he would use the container we divide 160 by 1:
<u><em>Hence, 160 times Edgardo would use the 1 cup container to fill the 10 gallon cooler.</em></u>
Therefore, Edgardo would use the container 160 times to fill.