Question

Which situation could be represented by 5x > 15? Jakiera makes $5 per hour working at her father's repair shop. She needs to make more than $15 to buy the calendar that she wants for next year. How many hours can she work to achieve this goal? Thomas brought 5 cans for the campus food drive. How many more cans does he need to have at least 15 cans for the food drive? Clarice collects comic books. Her brother, Samuel, has 15 comic books. How many comic books does Clarice need to have more comics than Samuel? Elizabeth is five times older than her grandchild, who is 15. How old is Elizabeth?

Answer 1

First situation

More than 3 hours

At least 10

15

75

Explanation:

Let x be the number of hours

The equation will be

`5x>15\\\Rightarrow x>(15)/(5)\\\Rightarrow x>3`

So, she needs to work more than 3 hours in order to make more than $15.

The situation that represents
`5x>15` is the first one.

Let x be the additional number of cans

The inequality will be

`x+5\geq15\\\Rightarrow x\geq 15-5\\\Rightarrow x\geq 10`

So, the additional number of cans to be bought is at least 10.

Let x be the number of comic books Clarice has.

`x>15`

So, Clarice needs to have more than 15 comic books.

Let x be age of Elizabeth

The equation will be

`x=5* 15\\\Rightarrow x=75`

So, Elizabeth is 75 years old.