You earn $9.50 per hour at your summer job. how do you write and solve an inequality that represents the numbers of hours you need to work to buy a digital camera that costs $247?

1 Answer
Mar 25, 2018

You need to work at least #26# hours to buy the digital camera.

Explanation:

Let #h# represent hours worked.

Now, we know the pay for one hour of work is #$9.50#. So, the amount of pay for #h# hours worked is given by #9.50h#.

Furthermore, since we're saving for a camera that costs #$247,# we want at LEAST #$247# (but it's okay if we have more). So, we'll be using #>=# in the inequality.

So, our inequality is

#9.50h>=247#

To solve, we simply divide both sides by #9.50#:

#h>=247/9.50#

#h>=26#

You need to work at least #26# hours to buy the digital camera.