Domain considering the scenario: Justin has $10 in his account and plans to save $25 each week until he reaches $135 for the new game he wants to buy.

Question

Consider the scenario

what is the answer:

10, 135

1, 8

0, 10

7, 25

Answer 1

To determine how many weeks it will take for Justin to save $135 given that he starts with $10 and saves $25 each week, we can set up the following equation:

Justin's total savings after \( w \) weeks will be:

\[ \text{Total savings} = 10 + 25w \]

We want to find \( w \) when his savings equal $135:

\[ 10 + 25w = 135 \]

Now, we can solve for \( w \):

1. Subtract 10 from both sides: \[ 25w = 135 - 10 \] \[ 25w = 125 \]

2. Divide both sides by 25: \[ w = \frac{125}{25} \] \[ w = 5 \]

So, it will take Justin 5 weeks to save up to $135.

Now, let's analyze the provided options to see if any of them could be relevant to this scenario:

• 10, 135: This could represent starting amount and goal.
• 1, 8: Unrelated.
• 0, 10: This could represent the starting amount.
• 7, 25: Unrelated.

The pair that could be relevant to the scenario, as they relate to the starting savings and the goal, would be 10, 135 since those numbers represent Justin's starting savings and the target amount he wants to reach.

Thus, the most appropriate answer from the provided options, in relation to Justin’s savings scenario, is: 10, 135.

Answer 2

New:

Range of graph.

The graph is linear increasing.

Starts from 0 on the axis.

increases until 20 on both axis's

Goes up by 2 multiples on both axis's

Answer 3

From your description, we have a linear graph that starts at the origin (0, 0) and increases until it reaches the point (20, 20). The graph goes up in increments of 2 on both axes.

Here are the key points based on your description:

1. Linear Graph: The graph represents a linear relationship, which means it can be described by a straight line.

2. Starting Point: The graph starts from (0, 0). This is the origin of the graph.

3. Endpoint: The graph reaches (20, 20), meaning it increases until this point.

4. Increments: Both the x-axis and y-axis increase by 2. Therefore, the key points on the graph will be:

   • (0, 0)
   • (2, 2)
   • (4, 4)
   • (6, 6)
   • (8, 8)
   • (10, 10)
   • (12, 12)
   • (14, 14)
   • (16, 16)
   • (18, 18)
   • (20, 20)

5. Graph Equation: The equation of the line can be represented as \( y = x \), since both the x and y values are equal at each point.

Summary:

• Range of the Graph: The range (y-values) based on your description is from 0 to 20.
• Domain of the Graph: The domain (x-values) is also from 0 to 20.
• Function Behavior: The function increases linearly by 2 for each increment along both axes.

If you are graphing this on a Cartesian plane, it will depict a straight line from the origin to the point (20, 20), passing through all key points listed above.