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3 years ago

PLEASE HELP WITH MATH CONSTRUCTED RESPONSE!!

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

y = 0.937976x +12.765
$12,765
$31,524
the cost increase each year

Step-by-step explanation:

1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...

... y = 0.937976x + 12.765

where x is years since 2000, and y is average tuition cost in thousands.

2. The y-intercept is the year-2000 tuition: $12,765.

3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.

4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.

5. [not a math question]

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hope it helps...

have a great day!!

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3 years ago

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of app

a_sh-v [17]

1.425 gallons/bottle.

<h3>Further explanation</h3>

Given:

Yasmine bought 6 gallons of apple juice.
After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

Question:

What is the amount of apple juice in each container (or bottle)?

The Process:

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

$\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }$

Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

$\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Let's also consider the following quick steps.

Quick steps:

$\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.

<h3>Learn more</h3>

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Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle, subtracted by, divide, container

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