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Ali currently has \[tex]$25. He is going to start saving \$[/tex]5 every week.

Ali's Savings Function Rule: [tex] y = 5x + 25 [/tex]

The rate of change of this function is [tex]\(\square\)[/tex] [tex]\(\checkmark\)[/tex]

Because this function has a [tex]\(\square\)[/tex] rate of change, the graph of this function is a [tex]\(\square\)[/tex].

Sagot :

GinnyAnsweridn
Let's analyze the problem in detail.

### Step-by-Step Solution:

1. Identify the Form of the Function:
- The given savings function is [tex]\( y = 5x + 25 \)[/tex].

2. Determine the Rate of Change:
- The rate of change in a linear function of the form [tex]\( y = mx + b \)[/tex] is represented by the coefficient [tex]\( m \)[/tex].
- In our given function [tex]\( y = 5x + 25 \)[/tex], the coefficient [tex]\( m \)[/tex] is 5.
- Therefore, the rate of change of this function is 5.

Filled in:
- The rate of change of this function is 5 [tex]\(\checkmark\)[/tex].

3. Analyze the Nature of the Rate of Change:
- Because this function has a constant rate of change (the coefficient of [tex]\( x \)[/tex] is a constant value, which is 5), the graph of a linear function like this is always a straight line.

Filled in:
- Because this function has a constant rate of change, the graph of this function is a straight line.

### Final Solution:
1. The rate of change of this function is [tex]\( 5 \)[/tex] [tex]\(\checkmark\)[/tex].
2. Because this function has a [tex]\( constant \)[/tex] rate of change, the graph of this function is a [tex]\( straight \)[/tex] line.
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