Topic D quiz

Part B Using the variable defined in part A, write an inequality that shows the range of the number of gumballs that Ethan can buy.

2(.75)+25g ≤ 4.50

1. Sara has a 30-gallon fish tank. The tank already has 24 gallons of water in it. Sara adds more water at a rate of 0.5 gallons per minute. Part A Sara wants to determine the range of minutes for which she can add water to the tank before it overflows. If m represents the number of minutes, which inequality models this situation? A. 0.5m + 24 ≤ 30 B. 0.5m + 24 ≥ 30 C. 0.5m - 24 ≤ 30 D. 0.5m - 24 ≥ 30

A) 0.5m + 24 ≤ 30

Part B which number line shows the solution set of the inequality?

C) Open circle-⭕️ between 25 and 26 To the right

Ethan has $4.50 to spend on 2 bags of chips that cost $0.75 each and some gumballs. Each gumball costs $0.25. Part A Which statement defines a variable for Ethan's purchase? A, g represents the price of 1 gumball Ethan buys B. g represents the amount Ethan spends on 2 gumballs. C. g respresents the total number of gumballs Ethan buys. D. g represents the amount of money Ethan spends on gumballs.

C. g respresents the total number of gumballs Ethan buys.

Graph the solution set of the inequality on the number line 10 ≤ 25- 2/3x

Closed circle-⚫️ between 20 and 30 to the right

Part C What is the maximum number of gumballs Ethan can buy?

Ethan can buy a maximum of 12 gumballs

graph the solution set of the inequality on the number line 86x - 23 < 120.62

Open circle-⭕️ between 1.67 to the left

Consider the inequality 2.5< 1/3 (x-18)

x > 25.5