Alicia is x years old. her aunt is three times her age. in 8 years, their total combined age will 48 years.

a. write a linear equation for their total age in 8 years.

b. find alicia and her aunt's present age.

first answer will get brainiest.

Step-by-step explanation:

Parking lot:

Alicia=x

Aunt=3x

48=(Alicia+8)+(aunt+8)

48=x+8+3x+8

48=4x+16

Part a: 48=4x+16

Part b:

48=4x+16

32=4x

8=x

Angie is currently 8 years old.

Aunt=3x=3•8=24

Alicia's aunt is currently 24 years old.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)