Answer:
550 sit-ups
Step-by-step 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:
[tex](x_1, y_1) = (1,50)[/tex] --- May 1
[tex](x_2, y_2) = (2,100)[/tex] --- May 2
First, we calculate the slope of the line chart.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{100 - 50}{2-1}[/tex]
[tex]m = \frac{50}{1}[/tex]
[tex]m = 50[/tex]
Next, we calculate the equation using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 50(x - 1) + 50[/tex]
[tex]y = 50x - 50 + 50[/tex]
[tex]y = 50x[/tex]
So, on May 11.
[tex]x= 11[/tex]
Substitute 11 for x
[tex]y = 50 * 11[/tex]
[tex]y = 550[/tex]
