Question

Kiana babysits for 2 hours each week. which equation can be solved to find h, the number of hours Kiana babysits in 9 weeks?

A) 2/1 = h/9.
B) 2/1 = h/18.
C) 2/1 = 9/h.
D) 1/h = 2/9.

Answer 1

B) 2/1 = h/18.

This equation accurately represents the scenario, where Kiana babysits for 2 hours weekly, allowing us to solve for h, the number of hours she babysits in 9 weeks.

Step-by-step explanation:

The equation that can be solved to determine the number of hours Kiana babysits in 9 weeks is represented by option B: 2/1 = h/18.

This equation is derived by considering that Kiana babysits for 2 hours each week, and over the course of 9 weeks, the total number of hours would be 2 multiplied by 9, resulting in 18 hours. Therefore, the ratio 2/1 equates to the ratio of hours Kiana babysits (h) to the total hours over 9 weeks (18).

Understanding the relationship between the given information and the unknown variable h is crucial in formulating the correct equation. In this case, the proportionality of hours per week is maintained in the equation, allowing for a straightforward solution.