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3 years ago

In a sale, a clothes shop reduces its prices by 40%

1 answer:

4 0

The original price of the shirt is 22
The price was reduced by 40% = 22*40/100 = 8.8
The price after sale = 22.0 - 8.8 = 13.2

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Answer:

The initial value is 29.5

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept ( also called initial value)

we have the points

(3,42.25) and (5,50.75)

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{50.75-42.25}{5-3}$

$m=\frac{8.5}{2}$

$m=4.25$

substitute in the equation

$y=4.25x+b$

Find the value of b

with the point (3,42.25) ( or the other given point)

substitute the value of x and the value of y in the equation and solve for b

$42.25=4.25(3)+b$

$42.25=12.75+b$

$b=42.25-12.75$

$b=29.5$

substitute

The linear equation is

$y=4.25x+29.5$

The initial value is the y-intercept (value of y when the value of x is equal to zero)

For x=0

$y=4.25(0)+29.5$

$y=29.5$

Therefore

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