. Solve this equation for y: y3=2x

Question

(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.

Answer 1

To solve the equation \( y^3 = 2x \) for \( y \), you would take the cube root of both sides. The formula for this would be:

\[ y = \sqrt[3]{2x} \]

Given the provided responses, none of them exactly match this expression. However, the equivalent answer based on the cube root format would be:

y = 2^(1/3) * x^(1/3), which is not listed among the responses either.

For the second part regarding texting:

If you make 50 texts every 2 days, you can define a relationship between the number of texts (\( T \)) and the number of days (\( d \)). The rate of texting can be modeled as:

\[ T = \frac{50}{2}d \ T = 25d \]

This means you send 25 texts per day. The graph of this scenario would be a straight line passing through the origin (0,0) with a slope of 25, indicating the number of texts increases linearly with the number of days.

If you have further questions or need clarification, feel free to ask!