As a salesperson at trading cards unlimited justin receives a monthly base pay plus commission on all of that he sells. if he sells for $100 worth of merchandise in one month he is paid $500 if he sells $700 of merchandise in one month he is paid $575 find justin’s salary when he sells $2500 worth of merchandise

If he sells $2500 worth of merchandise, his salary is $800.

Step-by-step explanation:

You can find a function that gives you his salary as a function of the sales.

You have two points: (100, 500) and (700, 575).

y = mx + b

m = (575 - 500)/(700 - 100) = 75/600 = 0.125

Now use point (100, 500) to find b.

y = mx + b

500 = 0.125(100) + b

500 = 12.5 + b

b = 487.5

y = 0.125x + 487.5

If he sells $2500, then x = 2500.

y = 0.125x + 487.5

y = 0.125(2500) + 487.5

y = 800

If he sells $2500 worth of merchandise, his salary is $800.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9