Andrea and Damian are collecting clothing items to donate. When they begin tracking their progress, Damian already has 5 items collected. Damian's goal is to collect 3 items per day, and Andrea's goal is to collect 4 items per day.

5 days

Step-by-step explanation:

Given

Damian

daily

Andrea

daily

Required [Missing from the question]

How long will they get the same number of items

Represent the number of items with x and the days with y.

So:

For Damian

For Andrea

Equate both expressions.

Collect like terms

Hence, they will have equal amount of items after 5 days

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c