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QuestionHow many hours does Nisha need to make 64 pairs of ghungroos using the equation y=4.75x−2.5y=4.75 x-2.5?

Studdy Solution

STEP 1

Assumptions1. The scatter plot shows a linear relationship between the number of hours Nisha works and the number of pairs of ghungroos she makes. . The equation y=4.75x−.5y=4.75x-.5 is a good line of fit for the data, where yy is the number of pairs of ghungroos and xx is the number of hours worked.
3. We want to find out how many hours it will take Nisha to make64 pairs of ghungroos.

STEP 2

We can use the equation of the line to find out how many hours it will take Nisha to make64 pairs of ghungroos. We will set yy to64 (the number of pairs of ghungroos) and solve for xx (the number of hours).
64=4.75x−2.564 =4.75x -2.5

STEP 3

First, we will isolate the term with xx by adding 2.52.5 to both sides of the equation.
64+2.5=.75x64 +2.5 =.75x

STEP 4

Calculate the left side of the equation.
66.=4.75x66. =4.75x

STEP 5

To solve for xx, we will divide both sides of the equation by 4.754.75.
x=66.54.75x = \frac{66.5}{4.75}

STEP 6

Calculate the value of xx.
x=66.54.75≈14x = \frac{66.5}{4.75} \approx14So, it will take Nisha approximately14 hours to make64 pairs of ghungroos.

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