Navin signed up for a gym membership. The cost was $125 plus $20 each month.

a) State the initial value and what it represents in this situation.

b) State the rate of change and what it represents in this situation.

c) State the type of relation.

d) Describe the rate of change (constant or not constant). Explain your
answer.

e) State whether the relation is an example of partial or direct variation.
Explain your answer.

a) the initial value is $125, and it represents the cost Navin has to pay in the beginning

b) the rate of change is  $20 per month, and it represents the cost he has to pay per month

c) linear; the equation for it is y = 20x + 125

d) The rate of change is constant because each month, Navin always has to pay $20.

e) This is partial variation because the equation y = 20x + 125 doesn't follow y = kx

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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

the workers who do no drive has no reasonable reason to buy gasoline due to they don't have anything to use it for