Question

b. the situation 6 years ago
select the correct answer below.
a. 6(30) = 180
b. −6(−30) = 180
c. −6(30) = −180
d. 6(−30) = −180

Explanation:

Step1: Understand the context

We are dealing with a situation 6 years ago. If we assume a rate (or value) of -30 (negative to represent "ago" or a decrease), and we want to find the total change over 6 years.

Step2: Analyze each option

• Option A: \(6(30) = 180\) uses a positive 30, which doesn't represent "ago" (negative context), so incorrect.
• Option B: \(-6(-30)=180\) has two negatives, which would imply a positive change in the opposite direction, not representing 6 years ago with a rate of -30, incorrect.
• Option C: \(-6(30)= -180\) uses a positive 30, but we need a negative value for "ago", so incorrect.
• Option D: \(6(-30)= -180\) Here, 6 is the number of years, and -30 is the rate (or value) per year representing "ago". Multiplying them gives the total change over 6 years ago, which is -180, correct.

Answer:

D. \(6(-30) = -180\)