Question

which equation could be used to find the number of minutes, m, in h hours? a. $m = 60h$ b. $m = \frac{h}{60}$ c. $m = 60 + h$ d. $m = \frac{60}{h}$

Explanation:

Step1: Recall the conversion factor

We know that 1 hour has 60 minutes. So, to find the number of minutes in \( h \) hours, we need to multiply the number of hours by 60 (since each hour contributes 60 minutes).

Step2: Formulate the equation

If \( h \) is the number of hours, then the number of minutes \( m \) is given by the product of \( h \) and 60. Mathematically, this is \( m = 60h \).

Let's check the other options:

• Option B: \( m=\frac{h}{60} \) would give a smaller value as \( h \) increases, which is incorrect because more hours should mean more minutes.
• Option C: \( m = 60 + h \) is adding hours and minutes, which is not a valid operation for unit conversion.
• Option D: \( m=\frac{60}{h} \) would give a smaller value as \( h \) increases, which is also incorrect.

Answer:

A. \( m = 60h \)