Christine's diner offers its clients a choice of regular and diet soda. Last night, the diner served 55 sodas in all, 80% of which were regular. How many sodas did the diner serve?

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

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)