Amal had a birthday part at the movies. It costs $30 for pizza and $7.50 per friend for the movie tickets. How many friends can Amal have at her party if she has $100? 1) Write an equation that matches this scenario.

2) Define the variable. (What variable are you using and why?)

3) Solve the equation.

$100 or y  = 7.5x + 30

I used x as it represents the cost of each friend and can be used to solve the total number of friends possible.

She can have 9 friends at her party

Step-by-step explanation:

y = 7.5x + 30

Total Amount + Cost per Friend + Total Cost of Pizza

100 = 7.5x +30

subtract 30 from each side

70 = 7.5x

divide each side by 7.5

9.33 = x

Always round down to the nearest whole in human examples!

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.