QUESTION IMAGE
Question
month | amount of money in bank account
1 | $300
2 | $225
3 | $150
- alex makes a monthly payment for his cell phone of $75. using the table, which statement best represents the function that describes the amount of money left in alex’s bank account?
○ it increases, but is not linear.
○ it decreases linearly.
○ it increases linearly.
○ it decreases, but is not linear.
Step1: Analyze the change between months
From month 1 to month 2: $300 - 225 = 75$. From month 2 to month 3: $225 - 150 = 75$. So the amount decreases by $75$ each month.
Step2: Determine the type of change
A linear change has a constant rate of change. Here, the decrease is $75$ per month (constant rate), so it's a linear decrease.
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It decreases linearly. (The option corresponding to this statement, e.g., if the option with "It decreases linearly." is, say, the third option, then write the full option as per the original, but since the options are: 1. It increases, but is not linear. 2. It decreases linearly. 3. It increases linearly. 4. It decreases, but is not linear. Wait, looking at the options:
Option 1: It increases, but is not linear.
Option 2: It decreases linearly.
Option 3: It increases linearly.
Option 4: It decreases, but is not linear.
So the correct option is the one with "It decreases linearly." So the answer is the option (let's assume the second option boxed, but as per the format, we need to write the option text. Wait, the user said for multiple-choice, provide the correct options with identifiers and text. Let's check the options:
Looking at the image, the options are:
- It increases, but is not linear.
- It decreases linearly.
- It increases linearly.
- It decreases, but is not linear.
So the correct answer is the option with "It decreases linearly." So: