Abe has 150 t-shirts to sell before the playoffs begin. The table shows the linear relationship between the number of t-shirts remaining, y, and the number of days he has been selling, X. T-shirt Sales Number of Number of Days T-shirts Remaining х Which function can be used to find y, the number of t-shirts remaining after x days?

Y= -12x + 150

Step-by-step explanation:

1. You do the change in y over the change in x to get the slope.

y1 - y2 / x1 - x2 and you get the slope of -12

2. Making a point-slope form equation

y-y1=m(x-x1)

y-138= -12(x-1)

3. Turning point-slope form equation to slope-intercept

y-138= -12(x-1)

distributive property

y-138=-12x+12

add 138 on both sides

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

i need a diagram

step-by-step explanation:

no