An athlete is running in a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete i
s from the school is given by y (in miles), where x + 10y = 260 (Note: 0 ≤ x ≤ 10 and 0 ≤ y ≤ 26). Complete the steps below to understand how to find the intercepts of the equation and what they represent. Use the relationship between x and y to find the time it takes for the runner to reach the school.
Given <span>x + 10y = 260 ; talso 0 ≤ x ≤ 10 and 0 ≤ y ≤ 26
to find the intercepts, set x=0
0 + 10(y-intercept) = 260
y-intercept = 26 miles at x=0; so runner is 26 miles from school at the start
then set y=0
x-intercept + 10(0) = 260
x-intercept = 260 minutes at y=0; so runner reaches school after 260 minutes
NOTE: the x-intercept is beyond the given range of </span>0 ≤ x ≤ 10; perhaps there is a typo n the range should <span>0 ≤ x ≤ 1000 instead?</span><span>
Well, because you would typically find the square root of -36 but there is no real solution that would equal -36. If it was x^2 = 36 it would be a totally different thing.
