Final answer:
To find the number of seconds Jerome takes to walk 500 steps at a rate of x steps per minute, we divide 500 by x to get the amount of minutes it takes, and then convert it to seconds, resulting in the expression 500/x seconds.
Step-by-step explanation:
The question is asking for an expression that represents the number of seconds it takes Jerome to walk 500 steps, given that he can walk x number of steps in one minute. To find this, we must understand that if he can walk x steps in one minute (which is 60 seconds), then we need to know how many minutes (converted into seconds) it takes to walk 500 steps. We start by seeing how many times x goes into 500 (which gives us the number of minutes), and then convert that number into seconds by multiplying by 60, because there are 60 seconds in a minute.
To get the expression in seconds, we divide 500 by x to find out how many minutes it takes to walk 500 steps, and then multiply by 60 to convert minutes into seconds. So it takes 500/x minutes to walk 500 steps, and to convert this into seconds, we multiply the expression by 60: (500/x)*60, which simplifies to 500/x seconds since (minutes)*(seconds/minute) cancels out the 'minutes' unit to leave us with only 'seconds'.
Therefore, the correct expression is A) 500/x seconds.