Question

During a scuba dive, Lainey descended to a point 20 feet below the ocean surface. She continued her descent at a rate of 20 feet per minute. Write an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 100 feet below the ocean surface.

Answer 1

she can descend five minutes so that should help

Answer 2

We know that she first descends 20 feet, and then she descends at a rate of 20 feet per minute. Basically, we have 20 feet which have to me summed with 20x, which expresses the ratio per minute, where x is minutes, and these terms cannot be more than 100 feet, so there are equal or less than 100 feet,

The expression would be:

`20+20x\leq 100`

If we solve this, we have

`20+20x\leq 100\\20x\leq 100-20\\x\leq (80)/(20)\\ x\leq 4`

Therefore, she cannot descent for more than 4 minutes.