Question

The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship? How many apples can she pick per hour?

Answer 1

Answer:

The linear equation $y=50(x)$ and Erin can pick $50$ apples per hour if she maintains a constant rate.

Step-by-step explanation:

To find the linear equation of the relationship from the graph.

We have to find the coordinates .

Let say $(x,y)=(1,50)$ and $(x_1,y_1)=(2,100)$

Here $x$ variable is the time in hour and $y$ variable is the number of apples.

To find linear equation we have to find the slope (m) of the line by using point-slope form.

$m=\frac{y_1-y}{x_1-x}$

So,

$m=\frac{100-50}{2-1}=50$

The the linear equation will be.

   $y=50(x)$

Number of apples Eric pick in an hour is $50$.

By plugging the value of $x=1$ in the equation we can find the number of apples picked by Erin per hours subsequently $x=2$ for second hour.

In each hour she picks $50$ apples.

Linear equation is  $y=50(x)$ and number of apples picked by Eric in an hour is $50$.