Question

The chart below shows the number of sit-ups Annie did starting May 1. If this trend continues, how many sit-ups is Annie expected to do on May 11

Answer 1

550 sit-ups

Explanation:

Given

See attachment for chart

Required

Number of sit-ups on March 11

Represent the number of sit-ups with x and the days with y.

So:

`(x_1, y_1) = (1,50)` --- May 1

`(x_2, y_2) = (2,100)` --- May 2

First, we calculate the slope of the line chart.

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (100 - 50)/(2-1)`

`m = (50)/(1)`

`m = 50`

Next, we calculate the equation using:

`y = m(x - x_1) + y_1`

This gives:

`y = 50(x - 1) + 50`

`y = 50x - 50 + 50`

`y = 50x`

So, on May 11.

`x= 11`

Substitute 11 for x

`y = 50 * 11`

`y = 550`