Determine Values in Function Table: Y = 5X

Q: How do I know which table is correct?

Test each X,Y pair in the equation $ Y = 5X $. For example, if X=0, then Y should equal 5×0=0. If X=2, then Y should equal 5×2=10. All pairs must work for the table to be correct!

Q: What does 'Y is a function of X' mean?

It means that Y depends on X. For every X-value you choose, there's exactly one Y-value that corresponds to it using the rule $ Y = 5X $.

Q: Why do some tables have wrong answers?

The incorrect tables use different rules like Y=X+5, Y=2X, or random numbers. Only one table follows the exact rule $ Y = 5X $ for every single pair.

Q: Can X be zero or negative?

Yes! The function Y=5X works for any real number. If X=0, then Y=0. If X=-1, then Y=5×(-1)=-5. The rule applies to all numbers.

Q: How do I create my own function table?

Choose any X-values you want, then calculate each Y-value using Y=5X. For example: X=1 gives Y=5×1=5, X=3 gives Y=5×3=15, and so on.

Function Tables with Linear Relationships

Y is a function of X that matches any value of X multiplied by 5.

Which table corresponds to the described function?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:08 First, let's choose the right table to use.

00:12 Next, we'll write the function equation based on our data.

00:16 Now, substitute in the X values, and find what Y is for each.

00:21 Each time, solve it, and fill out the table as you go.

00:33 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Y is a function of X that matches any value of X multiplied by 5.

Which table corresponds to the described function?

Step-by-step solution

To solve this problem, we follow these steps:

Identify the equation: $Y = 5 \times X$ .
Select some example values for $X$ .
Calculate $Y$ for each $X$ using the equation $Y = 5 \times X$ .
Compare these calculations against the provided multiple-choice tables to find the match.

Let's demonstrate this approach:

Using the equation $Y = 5 \times X$ , calculate:

If $X = 0$ , then $Y = 5 \times 0 = 0$ .
If $X = 2$ , then $Y = 5 \times 2 = 10$ .
If $X = 4$ , then $Y = 5 \times 4 = 20$ .

Therefore, the table that corresponds to the described function is:

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Each Y-value equals X-value multiplied by 5
Technique: Test each point: if X=2, then Y=5×2=10
Check: Every X,Y pair satisfies Y=5X equation ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication direction or constant
Don't assume Y=X×5 means add 5 or multiply by other numbers = wrong Y-values! Students often mix up the constant or operation. Always multiply each X-value by exactly 5 to get the corresponding Y-value.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the following table represents a constant function:

FAQ

Everything you need to know about this question

How do I know which table is correct?

Test each X,Y pair in the equation $Y = 5X$ . For example, if X=0, then Y should equal 5×0=0. If X=2, then Y should equal 5×2=10. All pairs must work for the table to be correct!

What does 'Y is a function of X' mean?

It means that Y depends on X. For every X-value you choose, there's exactly one Y-value that corresponds to it using the rule $Y = 5X$ .

Why do some tables have wrong answers?

The incorrect tables use different rules like Y=X+5, Y=2X, or random numbers. Only one table follows the exact rule $Y = 5X$ for every single pair.

Can X be zero or negative?

Yes! The function Y=5X works for any real number. If X=0, then Y=0. If X=-1, then Y=5×(-1)=-5. The rule applies to all numbers.

How do I create my own function table?

Choose any X-values you want, then calculate each Y-value using Y=5X. For example: X=1 gives Y=5×1=5, X=3 gives Y=5×3=15, and so on.

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