HURRY -Aliyah and Diego started to run in a 5 kilometer-long race at exactly the same time. By 3:00 P. M., Aliyah had completed half of the race. For the rest of the race, Aliyah ran at a constant rate of 0.25 kilometer per minute. Diego did not run the race at a constant speed.
A linear function can be used to model the total distance d(t)d(t), in kilometers, that Aliyah runs from the beginning of the race in t minutes, where t=0t=0 represents 3:00 P. M. Write an
equation that defines the linear function d. Explain how you determined the equation for the function.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

part a: 1.08

part b: 27.59