Answer:
28 baskets
Step-by-step explanation:
The equation for a linear trend line is given by:
y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).
The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
y represent the number of baskets made and x represents the time take. Given that the line passes through the points (0, 11) and (100, 33), hence:
[tex]y-11=\frac{33-11}{100-0}(x-0)\\\\y-11=\frac{11}{50}x\\\\y= \frac{11}{50}x+11[/tex]
The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:
[tex]y=\frac{11}{50}x+11\\\\y=\frac{11}{50}(80)+11 \\\\y=17.6+11\\\\y=28.6\\\\Therefore\ y\ =\ 28\ baskets[/tex]
