Math Snap

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 $y=4.75x-.5$ is a good line of fit for the data, where $y$ is the number of pairs of ghungroos and $x$ 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 $y$ to64 (the number of pairs of ghungroos) and solve for $x$ (the number of hours).
$$64 =4.75x -2.5$$

STEP 3

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

STEP 4

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

STEP 5

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

Calculate the value of $x$.
$$x = \frac{66.5}{4.75} \approx14$$So, it will take Nisha approximately14 hours to make64 pairs of ghungroos.