Question

Lowell runs 1.2 miles daily. His goal is to run 120 miles, and he will end his daily runs when he reaches that goal. He uses the equation y=−1.2x+120
to keep track of the distance he still needs to run over time. In this function, x represents the number of days he runs, and y represents the number of miles he must still run to achieve his goal. Complete the inequality to determine the domain of the function given the real-world constraints of the problem.(1 point)

Answer 1

0 ≤ x ≤ 100

Solve -1.2x + 120 ≥ 0 (he stops when y = 0) gives x ≤ 100, and days can't be negative so x ≥ 0. If specifying whole days, x is an integer 0,1,...,100.