Question

I NEED HELP ASAP!!!

Use the tables to answer the following questions.
a. find the constant of proportionality
b. use the constant of proportionality to write a unit rate for the data in the table
c. write an equation to represent the relationship between time, t, and distance, d.

time distance
(hours) (miles)
2 90
3 135
5 225
6 270

Answer 1

a. The constant = 45

b. The unit rate is 45 miles per hour

c. d = 45t

Explanation:

a. ∵ d ∝ t

∴ d = kt

∵ d = 90 at t = 2

∴ 90 = k(2)

∴ k = 90 ÷ 2 = 45

∴ The constant of proportionality is 45

b. ∵ k = d(miles) ÷ t(hours) = 45

∴ The unit rate is 45 miles per hour

c. The equation is ⇒ d = 45t