Everyone at camp takes turns being on lunch duty. you and your friend are in charge of making sandwiches. you both can make 1 sandwich in two minutes. your friend arrives 10 minutes earlier than you and starts making sandwiches.

a. write equations that model the number of sandwiches made as a function of the number of minutes it takes you and your friend to each make sandwiches.

b. how many sandwiches will each of you make in 20 minutes?

c. how are the graphs of the equations from part (a) related? justify your answer.

Step-by-step explanation:

A. you: Number of sandwiches = .5 * time

friend: # of sandwiched = .5 * t + 5

B. Your friend makes 10 and you make 5

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!