Real World Inequality Identify the Equation

Each month, Phone Company A charges $204 for unlimited talk and text plus an additional $9.50 for each gigabit of data used. Phone Company B charges $36.75 per gigabit of data used and the price includes unlimited talk and text. How many gigabits of data could a person use monthly to make the total cost from Phone Company A more expensive than Phone Company B? Identify the inequality that models this real-world situation, where g represents the number of gigabits.

Each month, Phone Company A charges $204 for unlimited talk and text plus an additional $9.50 for each gigabit of data used. Phone Company B charges $36.75 per gigabit of data used and the price includes unlimited talk and text. How many gigabits of data could a person use monthly to make the total cost from Phone Company A more expensive than Phone Company B? Identify the inequality that models this real-world situation, where g represents the number of gigabits.

•  5 gigabits

• 7.2 gigabits

•  9 gigabits

•  7.6 gigabits

• 2.4 gigabits

Identify the equation that models this real-world situation.

which equation best represents this graph?

• y < 1/2x + 1

• y < 1/2x + 2

• y >1/2x + 2

• y > 2x

Which of the following mathematical sentences illustrates a linear inequality in two variables?

• The value of twice a number x added by nine is less than 26.

• Thrice a number m is twice another number n.

• A number n multiplied by 8 results to twice a number p.

• Four times a number s subtracted from a number t is at most 33.

Which of the following is a linear inequality in two variables?

• 4x − 5 > 9

• x + 4y = 7

• 2x − 3y ≥ 10

• 6 + 7y < 11

Select the correct graph for each inequality.

• A

• B

• C

• _D

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

Which problem will graph as shown?

• 8x > 56

• 8x < 56

• 8x ≤ 56

• 8x ≥ 56

Which inequality represents the real-world situation below? “Doctors say you should exercise at least 30 minutes every day.”