Solve this equation for y: y3=2x

(1 point)
Responses

y=23x
y is equal to 2 thirds x

y=2x+3
y is equal to 2 x plus 3

y=6x
y is equal to 6 x

y=2x−3
y is equal to 2 x minus 3
Question 5
5. Over the summer, you text a bunch. Let’s say you make 50 texts every 2 days.

The graph represents the scenario.

1 answer

To solve the equation \( y^3 = 2x \) for \( y \), we need to isolate \( y \).

  1. First, take the cube root of both sides of the equation: \[ y = \sqrt[3]{2x} \]

This means \( y \) is equal to the cube root of \( 2x \).

None of the given responses match this result. Let me know if you need further assistance with this or the next question!

For the second question about your texting habits, if you text 50 times every 2 days, you could represent the scenario with a linear function.

  1. You would find the rate of texts per day as: \[ \text{Rate} = \frac{50 \text{ texts}}{2 \text{ days}} = 25 \text{ texts per day} \]

If you want to express it in function form, assuming \( x \) is the number of days, the number of texts \( T \) you send can be expressed as: \[ T(x) = 25x \] for \( x \geq 0 \).

If you need help with a specific graph or further details, feel free to share!