Kiki made $570 last week for 40 hours of work. this week she worked 36
hours and made $513. is this a proportional or non-proportional relationship?

a. proportional; the constant of proportionality is $22.80/hour
b. proportional; the constant of proportionality is $14.25/hour
c. non-proportional; the rate of change is $14.25/hour
d. non-proportional; the rate of change is $18.47/hour

this is due at 7: 00

B

Step-by-step explanation:

Relationships are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. In this case, you have

40/570 = 36/513

If these outcomes are the same, they are proportional. For this problem you would get 14.25 for each side, making the correct choice, B.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is