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UkoKoshka [18]
3 years ago
12

Thea and Eleanor are reading the same book. The graph shows the number of words Thea reads over time. Eleanor reads 225 words pe

r minute.
Which statements about the reading rates of the two girls are true?

Select each correct answer.



Thea reads faster than Eleanor.

Thea reads 180 words per minute.

Eleanor reads 450 words every 2 minutes.

After 1 hour of reading, Eleanor reads more words than Thea.

1 2 3 4 5

Mathematics
2 answers:
Vlad1618 [11]3 years ago
7 0

Answer:

i know the answer are thea reads 180 words per minute, eleanor reads 450 word per minutes, and after 1 hour of reading, eleanor reads more then thea.

Step-by-step explanation:

i took the test and i got it right

Lapatulllka [165]3 years ago
6 0
The slope is the rate
words per minute
we can do
540 words in 3 minutes
divide by 3
180 words in 1 minute

thea=180wpm
elanor=225wpm

elanor>thea

and 225*2=450


answers are
Thea reads 180 words per minute.

Eleanor reads 450 words every 2 minutes.

After 1 hour of reading, Eleanor reads more words than Thea.

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A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
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Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

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y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

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