A caterer charges $275 for 15 people and $425 for 25 people. The cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this situation. *

The equation of the given situation is y = 15x + 50

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

The rule of the slope is m = , where

∵ A caterer charges $275 for 15 people

∵ A caterer charges $425 for 25 people

∵ x represents the number of people

∵ y represents the cost

∴ (x1, y1) = (15, 275)

∴ (x2, y2) = (25, 425)

→ Substitute them in the rule of the slope above to find it

∵ m =

∴ m = 15

→ Substitute it in the form of the equation above

∴ y = 15x + b

→ To find b substitute x by 15 and y by 275

∵ 275 = 15(15) + b

∴ 275 = 225 + b

→ Subtract 225 from both sides

∴ 275 - 225 = 225 - 225 + b

∴ 50 = b

→ Substitute it in the equation

∴ y = 15x + 50

∴ The equation of the given situation is y = 15x + 50

d? maybe

step-by-step explanation:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1