Question

1. a group of students wants to paint posters. there are 4 posters, but there are 9 people who want to help paint. which equation shows how much poster each person could paint? a) 4/9 = 4 × 9 b) 4/9 = 4 ÷ 9 c) 4/9 = 9 ÷ 4 d) 9/4 = 9 ÷ 4 2. mrs. bass writes 2 patterns. pattern a: the first term has a value of 3, and the next terms increase by 3 each time. pattern b: the first term has a value of 27, and the next terms decrease by 3 each time. what is the value of the first term that both pattern a and pattern b have in common?

Explanation:

Step1: Solve Question 1

We need to divide 4 posters among 9 people, so the amount per person is total posters divided by number of people.
$\frac{4}{9} = 4 \div 9$

Step2: List terms for Question 2

Pattern A terms: $3, 6, 9, 12, 15, 18, 21, 24, 27,...$
Pattern B terms: $27, 24, 21, 18, 15, 12, 9, 6, 3,...$
Identify the first shared term.

Answer:

1. B) $4/9 = 4 \div 9$
2. 27