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STALIN [3.7K]
3 years ago
5

A new school has opened in the area the school did not have a year book before 2010 in 2010 there were 500 year book sold into 1

014 there were 1000 year book sold right the linear function that represents the number of year book sold per year Y where X is the number of years since 2010
Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

Step-by-step explanation:

the school did not have a year book before 2010

in 2010 there were 500 year book.

Into 2014, there were 1000 year book sold.

The increase in the number of textbooks sold per year is linear, hence, it is in arithmetic progression.

The formula for the nth term of an arithmetic progression is

Tn = a+(n-1)d

Where

a is the first term of the series

n is the number of terms

d is the common difference

From the information given,

a = 500 because it is the number of books for the first year

n = x = 5 because there are 5 terms(in years) from 2010 to 2014

Tn = 1000 because it is the number of books in the last year.

d = y = common difference or number of year book sold per year. Therefore, the linear function that represents the number of year book sold per year will be

1000 = 500 + y(x-1)

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5 0
3 years ago
Carlos ran a concession stand last Saturday and made $63.90 from selling a total of 41 hot dogs and hamburgers. Each hot dog sol
Keith_Richards [23]

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Step-by-step explanation:

Carlos ran a concession stand last Saturday and made $63.90 from

a total of 41 hot dogs and hamburgers. Each hot dog sold for $1.40

and each hamburger sold for $2.70

1. The number of hot dogs is x, and hamburgers is y

2. He made $63.90 from a total of 41 hot dogs and hamburgers

3. Each hot dog sold for $1.40 and each hamburger sold for $2.70

We need to find the number of hot dogs and hamburgers, that were sold

∵ The number of hot dogs is x, and hamburgers is y

∵ He sold 41 hot dogs and hamburgers

∴ x + y = 41 ⇒ (1)

∵ Each hot dog sold for $1.40 and each hamburger sold for $2.70

∵ He sold x hot dogs and y hamburgers

∵ He made $63.90 from sold them

∴ 1.4 x + 2.7 y = 63.9 ⇒ (2)

Let Us solve the system of equations to find x and y

Multiply equation (1) by -2.7 to eliminate y

∵ (-2.7)x + (-2.7)y = (-2.7)(41)

∴ -2.7 x - 2.7 y = -110.7 ⇒ (3)

- Add equations (2) and (3)

∴ -1.3 x = -46.8

- Divide both sides by -1.3

∴ x = 36

Substitute the value of x in equation (1) to find y

∵ x + y = 41 ⇒ (1)

∴ 36 + y = 41

- Subtract 36 from both sides

∴ y = 5

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Learn more:

You can learn more about system of equations in brainly.com/question/3739260

#LearnwithBrainly

6 0
3 years ago
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Olegator [25]

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.

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example :  

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y = 2 + 15

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The y intercept (15) is telling us that they already had 15 baskets to start with.

3 0
3 years ago
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