Question

Gustav is starting a special sprinting regimen in outdoor track. The regimen suggests sprinting for a certain number of seconds, sss, at first. The second time he sprints, he should run 150 more seconds than the first time. For the third time, the regimen suggests sprinting twice the number of seconds as the first time. Finally, the regimen suggests an 80-second sprint. Which of the following functions can be used to find the total number of seconds, t, suggested by the entire sprinting regimen?

a. t=s+230
b. t=2s+230
c. t=5/2s+230
d. t=4s+230

Answer 1

Answer: d. t = 4s + 230

Explanation: In the first part of his regimen, Gustav sprints for a time of s seconds:

part 1: t₁ = s

In the second part, time is 150 more seconds than first part:

part 2: t₂ = s + 150

In part 3, time is twice the number as the first time:

part 3: t₃ = 2s

And in the last part, the regimen is of an 80 second sprint:

part 4: t₄ = 80

Th entire regimen has a total of seconds equal to

`t=t_(1)+t_(2)+t_(3)+t_(4)`

t = s + s + 150 + 2s = 80

t = 4s + 230

The function which represents the total number of seconds suggest by the entire regimen is t = 4s + 230