mrs. morton has a special reward system for her class. when all her students behave well, she rewards them…

mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the jar has 24 marbles. write an inequality to determine the number of additional times, r, mrs. morton could reward the class in order for the students to have a party. will the students have a party if mrs. morton rewards them 31 additional times? choose 1 answer: a yes b no

mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the jar has 24 marbles. write an inequality to determine the number of additional times, r, mrs. morton could reward the class in order for the students to have a party. will the students have a party if mrs. morton rewards them 31 additional times? choose 1 answer: a yes b no

Answer

Explanation:

Step1: Set up the inequality

The jar currently has 24 marbles. Each time Mrs. Morton rewards the class, she adds 3 marbles. So after (r) additional rewards, the number of marbles in the jar is (24 + 3r). The students have a party when the jar has 100 or more marbles. So the inequality is (24+3r\geq100).

Step2: Check if (r = 31) satisfies the inequality

Substitute (r = 31) into the left - hand side of the inequality: (24+3\times31=24 + 93=117). Since (117\geq100).

Answer:

The inequality is (24 + 3r\geq100). A. Yes