Graph the line that represents a proportional relationship between d dd and t tt with the property that an increase of 0.2 point, 2 units in t corresponds to an increase of 1.8, point, 8 units in d.

what is the unit rate of change of d dd with respect to t ? (that is, a change of 1 unit in t will correspond to a change of how many units in d ?

the unit rate of change is

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means------> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem

the barter

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.