Question

d) $y = 0.1x + 100$

Explanation:

Since the problem just presents the equation \( y = 0.1x + 100 \) without a specific question (like finding slope, intercept, solving for \( x \) or \( y \) with a value, etc.), we can't provide a solution yet. If you want to find the slope and y - intercept, for example:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept.

Step2: Identify \( m \) and \( b \)

In the equation \( y = 0.1x+100 \), comparing with \( y = mx + b \), we have \( m = 0.1 \) (slope) and \( b = 100 \) (y - intercept).

If your question is different (e.g., find \( x \) when \( y = 150 \)), you can use the following steps:

Step1: Substitute \( y \) value

Substitute \( y = 150 \) into the equation \( y=0.1x + 100 \), we get \( 150=0.1x + 100 \).

Step2: Solve for \( x \)

Subtract 100 from both sides: \( 150 - 100=0.1x+100 - 100 \), so \( 50 = 0.1x \).
Divide both sides by 0.1: \( x=\frac{50}{0.1}=500 \).

Please clarify your specific question so that a more targeted solution can be provided.

Answer:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept.

Step2: Identify \( m \) and \( b \)

In the equation \( y = 0.1x+100 \), comparing with \( y = mx + b \), we have \( m = 0.1 \) (slope) and \( b = 100 \) (y - intercept).

If your question is different (e.g., find \( x \) when \( y = 150 \)), you can use the following steps:

Step1: Substitute \( y \) value

Substitute \( y = 150 \) into the equation \( y=0.1x + 100 \), we get \( 150=0.1x + 100 \).

Step2: Solve for \( x \)

Subtract 100 from both sides: \( 150 - 100=0.1x+100 - 100 \), so \( 50 = 0.1x \).
Divide both sides by 0.1: \( x=\frac{50}{0.1}=500 \).

Please clarify your specific question so that a more targeted solution can be provided.