Question

Aliyah and Diego started to run a 5km long run. Bye 3:00 pm aliyah finished half of the race. For the rest aliyah ran ate a constant rate of 0.25 km per minute. Diego didn’t run at a constant rate. Write a linear function that can be used to model the total distance

Answer 1

d = 2.5 + 0.25(t - 30)

Explanation:

To model the total distance covered by Aliyah and Diego during the 5km run, we can use a linear function. Let's denote the time in minutes as 't' and the distance covered in kilometers as 'd'.

Aliyah finished half of the race, which is 2.5km, by 3:00 pm. This means that Aliyah took 't' minutes to run the first 2.5km. We can represent this portion of the race with the equation:

d = 2.5

For the remaining distance, Aliyah ran at a constant rate of 0.25 km per minute. So, the distance covered by Aliyah in this portion can be represented by the equation:

d = 2.5 + 0.25(t - 30)

The equation represents the total distance 'd' covered by Aliyah and Diego as a function of time 't', taking into account the initial 2.5km and the constant rate of 0.25 km per minute for the remaining distance.

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