Question

PLEASE HELP ASAP GIVING BRAINLIEST

Answer 1

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\ 401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$    

where

m is the slope or unit rate

b is the y-intercept (one-time  processing fee)

In this problem we have

$b=\ 11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\ 32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time  processing fee

$b=\ 11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\ 401.95$