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hodyreva [135]
3 years ago
14

Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on t

he fifth test and still finish with an average score of 90 points?
96 points
97 points
98 points
99 points
Mathematics
2 answers:
Yanka [14]3 years ago
6 0
So u will do 88+84=172+88=260+91=351 and that is all four tests added up now u have to divide the answer by 4 because it was four tests averages
351/4=87.75 wich is aproxamately 88 
so with all four of them added wich is 351 u will add the answer choices so 351+96=447/5=89.4 wich is aproxamately 89
351+97=448/5=89.6 wich is aproxamately 90
351+98=449/5=89.8 wich is aproxamately 90
351+99=450/5=90
so i would say that 99 points is the one she needs to score because it isnt asking for aproxamately 
so it is 99 points
madam [21]3 years ago
6 0

Find the lowest score for the average. Let that number = x

There are 5 tests in all

(88 + 84 + 88 + 91 + x)/5 = 90

First, multiply 5 to both sides

(88 + 84 + 88 + 91 + x)/5(5) = 90(5)

88 + 84 + 88 + 91 + x = 450

Next, Combine like terms

351 + x = 450

Next, isolate the x. Subtract 351 from both sides

351 (-351) + x = 450 (-351)

x = 450 - 351

x = 99

99 is your answer

hope this helps

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Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.
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Answer:

328.05 dollars

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Step-by-step explanation:

1.

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the <u>initial price is $500</u>, the <u>value depreciates 10% each year </u>because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

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The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

2.

         y= 500(.9)^x

----------------------------------------------------------------------------

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

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