The quantities x and y are proportional X= 8, 16, 32
Y= 2, 4, 8
Find the constant of proportionally (r) in the equation y= rx
r=

Step-by-step explanation:

Given

The x and y values

Required

Determine the constant of proportionality

This is calculated from:

Pick any corresponding x and y values:

and

Substitute 8 for x and 2 for y in

Make r the subject

Pick another x and y values:

and

Hence, the constant of proportionality is 1/4

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°