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Elena L [17]
3 years ago
9

Write an equation for the line of best fit that models the relationship between profit in thousands, p, and time in months, m. T

hen, use your equation to predict the profit the bagel shop will earn in month 12. Round slope and y-intercept to the nearest tenth.

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
This is much easier when you use a software like MS Excel. You have to list the points first. These are: (1,3), (2,2.5), (3,4), (4,5), (5,6.5), (6,5.5), (7,7), (8,6), (9,7.5), (10,7) and (11,9).

Do a scatter plot for this points and add a trend line and you obtain the equation of the line fit. The equation is p=0.6m+2.4

We use this equation to find p when m=12.

p = (0.6×12)+2.4
p = 9.6

Total profit in month 12 would be 9.6 thousand.

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x = 5

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Answer:

Friday's game generates $1,664 while Sunday's, game generates $1,768 for a total of $3432.00.

Step-by-step explanation:

First, identify what you know:

1) A baseball team has home games on Friday and Sunday

2) Both games, combined, earned $3432.00

3) Friday's game generated $104.00 less than Sunday's game.

We can create a formula to solve our problem!

$3,432 = x + (x - 104)

$3,432 + 104 = x + x

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Sunday's game earned $1,768! If Friday's game earned $104 less, then simply subtract that from Sunday's earning!

$1,768 - $104 = $1,664

Friday's game cost $1,664, and Sunday's game earned $1,768!

Hope this helps! :)

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Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 2%. If the rate of deca
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The amount of radioactive material remaining after 24 hours is 92.15 kg.

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the amount of the substance after t hours.

From the equation, a = 100 mg

Also, after 6 hours:

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After 24 hours:

y = 100(0.9966)²⁴ = 92.15 kg

The amount of radioactive material remaining after 24 hours is 92.15 kg.

Find out more on Exponential function at: brainly.com/question/12940982

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2 years ago
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