Complete A, B and 6 for 13 points.

a) 10

b) The $40+5 dollars for every ticket

c) See below

Step-by-step explanation:

a)

1. Let t=number of tickets

2. Writing an equation

Breaking even means that you earn the same amount of money for both.

40 +5t=70+2t

3. Solving the equation

40 +5t=70+2t

5t-2t=70-40

3t=30

t=10

So the answer to a) is 10.

b)

1. Using an equation

We already know that there are 2 equations for this problem. (40+5t, 70+2t)

So, we will substitute 20 for t.

40+5*20=40+100=140

70+2t=70+2*20=110

2. Comparing equations

140>110, so the first offer is better

C)

The owner lets you choose how you get paid because one option will be better for you, as some days you might not sell many tickets (so you will go with the $70+2 tickets), or some days you might sell many tickets (you will choose the $40+5 dollars/ticket).

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is