Which t-chart represents the absolute value equation y = |5x|?

Final answer:

A t-chart representing the y = |5x| shows pairs of x and y values, where y is the absolute value of 5 times x. Whether x is negative or positive, y is always positive, demonstrating the dependence of y on x in the total value context.

Explanation:

The absolute value equation given is y = |5x|. A t-chart representing this equation would list several values of x against their corresponding y values, where y is the absolute value of 5 times x. For instance, for x = -1, y = |-5| = 5; for x = 0, y = |0| = 0; for x = 1, y = |5| = 5. Thus, the t-chart should show that, regardless of whether x is negative or positive, y is always positive, given the nature of absolute value.

Here's an example of what the t-chart could look like:

• (-1, 5)
• (0, 0)
• (1, 5)

The dependence of y on x in this scenario is such that y increases linearly as the absolute value of x increases.

Learn more about t-chart here:

brainly.com/question/32268200

#SPJ2

Answer: Choice C

=============================================

Explanation:

Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.

-------------

Another way to see this is by plugging in each x value to see what y value comes out.

• If x = -2, then y = |5*x| = |5*(-2)| = |-10| = 10
• If x = -1, then y = |5*x| = |5*(-1)| = |-5| = 5
• If x = 0, then y = |5*x| = |5*0| = |0| = 0
• If x = 1, then y = |5*x| = |5*1| = |5| = 5
• If x = 2, then y = |5*x| = |5*2| = |10| = 10

The y outputs from top to bottom are: 10, 5, 0, 5, 10

This matches with what choice C shows.