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egoroff_w [7]
2 years ago
11

A linear model of this situation contains the values (15, 300.2) and (26, 177.88) where x represents the number of square inches

knitted on the scarf and y represents the number of yards remaining on the ball of yarn. How many yards of yarn did Paula start with?
Mathematics
1 answer:
maw [93]2 years ago
5 0

Answer: Paula starts with 301.5 yarns.

Step-by-step explanation:

Equation of a line passing through two points (a,b) and (c,d) is given by:-

(y-b)=\dfrac{b-d}{a-c}(x-a)

Given: x=  number of square inches knitted on the scarf

y= number of yarns remaining on the ball of yarn

The equation of a line passing through (15, 300.2) and (26, 177.88):

(y-300.2)=\dfrac{26-15}{177.88-300.2}(x-15)\\\\\Rightarrow (y-300.2)=\dfrac{11}{-122.32}(x-15)\\\\\Rightarrow (y-300.2)=\dfrac{11}{-122.32}(x-15)

To find initial point, put x=0

y-300.2=-\dfrac{11}{122.32}(0-15)\\\\\Rightarrow\ y-300.2=\dfrac{375}{278}\\\\\Rightarrow\ y=\dfrac{375}{278}+300.2\\\\\Rightatrrow\ y=301.5  \ \ (approx)

Hence, Paula starts with 301.5 yarns.

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