Representing Linear Inequalities

• Solid Line; Shade Above

• Solid Line; Shade Below

• Dashed Line; Shade Above

• Dashed Line; Shade Below

• Solid Line; Shade Above

• Solid Line; Shade Below

• Dashed Line; Shade Above

• Dashed Line; Shade Below

Which of the following equations match the given graph?

The graphs represent

• linear inequalities

• equations

• system of inequalities

• system of equations

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

A student is buying hot chips and sodas from the corner store. She can choose any combination of chips and sodas, and she does not want to spend more than $20. If hot chips cost $2.50 each and sodas costs $1.75 each, which inequality represents all possible combinations of x hot chips and y sodas?

• 2.5x + 1.75y ≥ 20

• 2.5x + 1.75y ≤ 20

• 2.5x + 1.75y < 20

• 1.75x + 2.5y ≥ 20

An Uber’s rates are $1.35 per mile plus an additional $2.50 base fee. You have a weekly budget represented by B(x). Which inequality can be used to represent the amount of money you can spend without going over your budget.

• B(x) ≤ 1.35x + 2.50

• B(x) ≥ 1.35x + 2.50

• B(x) < 1.35x + 2.50

• B(x) > 1.35x + 2.50

Maggie’s parents are booking a band and a DJ for a sweet 16, and wants to keep the cost of entertainment under $1,200. A band can play for part of the time at an hourly rate of $150, and a DJ can play for the remaining time at an hourly rate of $79. Write an inequality to describe the possible combinations of x band time and y DJ time?

• 150x + 79y < 1200

• 79x + 150y ≥ 1200

• 150x + 79y ≤ 1200

• 79x + 150y ≤ 1200