Rational function word problems with inverse variation

Jason bought a new EV car. He's trying to get used to how long he can drive it before charging. The time he can drive varies inversely with the level of charge. Based on the situation, which of the following is true?

• As the time increases, the level of charge decreases

• As the time increases, the distance increases.

• As the distance increases, the level of charge decreases.

• as the time increases, the level of charge increases.

Sam started working a new job last month, and his free time now varies inversely with his hours worked. When he works 8 hours, he uses 1/2 his freetime for fun. How much freetime will he use if he works for 12 hours.

• 1/3 of his freetime

• 1/4 of his freetime

• 3 hours of his freetime

• 4 hours of his freetime

Genie rents out an airbnb for her friends after prom. She's not sure who's going yet, but there's going to be between 5 and 9 of her friends, and they'll split the $390 cost evenly. Write an equation that describes the cost, C, per person, p.

• C*390=p

• p*390=C

• Cp=390

• C/p=390

Fredy and Angela are studying inverse variation and write equations describing splitting $100 among upto 21 people. They each wrote a correct function describing the situation. Which functions did they write? Select all that apply.

• x is people

  y is cost

  21y=x

• x is people

  y is cost/person

  y=100/x

• x is people

  y is cost per person

  xy=100

• y is cost per person

  y=100/21

Xbox games pass costs $49 to activate and $15 per month to maintain a subscription. Write an equation that describes cost per month (y) after playing for several months (x).

Marie is paid off of commission. She earns $200 each month plus $50 for each item (x) she sells. What equation(s) describes her pay rate per item (y)? Select all that apply.

The equation xy=175x+2000 describes the cost of investing in rental property where y describes the average cost per month and x describes the number of months. What would be the range of property cost each month if it's owned for 3 to 7 years?

• $198.81-230.56 per month

• $201.20-244.11 per month

• $186.13-243.90 per month

• $200.96-$251.28 per moth

• 26-27.36

• 26-27.363

• [27.36-26]

• 27.36-28

The Graph shows the value of a car as it depreciates over time. What is the car worth when it's between 5 years old and 15 years old?

• $800-$3000

• $1000-$5000

• $1000-2500

• $1000-2000

The table describes a rational function. What would the value of y be when x = 10?

• 12

• 21

• 19

• -18

• -11