Which situation can be modeled by the inequality 5 + 10w ≥ 45?

A. You start with $5 and save $10 a week until you have at least $45.

B. You start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards.

C. You start with 5 water bottles and purchase cases of 10 water bottles each until you have a total of 45 water bottles.

D. You spend $5 plus $10 per week until you have less than $45.

You start with $5 and save $10 a week until you have at least $45.

100% Correct

The situation can be modeled by the inequality is:

You start with $5 and save $10 a week until you have at least $45 ⇒ A

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the rate of change (constant value per period) b is the initial value (value y at x = 0) If y is at least a, that means y ≥ a (m x + b ≥ a) If y is at most a, that means y ≤ a (m x + b ≤ a)

∵ 5 + 10 w ≥ 45

∵ b + m x ≥ a

∴ b = 5, m = 10, ≥ is at least and a = 45

That means:

→ The initial value is 5

→ The rate of change is 10

→ The value is at least 45

∴ You start with $5

∴ You save $10 per week

∴ You have at least $45

The situation can be modeled by the inequality is:

You start with $5 and save $10 a week until you have at least $45.