Question

Denise would like to purchase a computer that costs$2000. Create and solve an inequality in order to determine the least amount of hours she must work in order to be able to purchase the computer

Answer 1

The question is incomplete. Here is the complete question:

Denise earns $30 an hour. She wants to purchase a computer that costs $2000. Create and solve an inequality to determine the least amount of hours she must work in order to be able to purchase the computer.

Answer:

`30h\geq 2000\ or\\h\geq67`

Denise has to work at least 67 hours in order to buy a computer that costs $2000.

Explanation:

Given:

Hourly earning of Denise is $30.

Let the number of hours Denise works be 'h'.

Now, total earning of Denise can be calculated using the unitary method and is given as:

`Total\ money=\textrm{Hourly earning}* \textrm{Total hours worked}\\Total\ money=30* h\\Total\ money=30h`

Now, total money earned by Denise must be at least $2000 in order to purchase a computer. Therefore, the inequality is given as:

`30h\geq 2000\\h\geq (2000)/(30)\\h\geq 66.7`

Therefore, Denise has to work at least 67 hours in order to buy a computer that costs $2000.