Question

The table shows the price of some laptop computers.Rebecca wants to spend no more than $450 for a new computer.

Write an inequality to show the price,p, of a computer that Rebecca can buy.

Which computers from the table can Rebecca buy? Explain how you know.

Answer 1

Part A) The inequality that represent this situation is equal to

`p\leq \$450`

Part B) Computer A, Computer B,

Explanation:

Part A)

Let

p------> the price of a new laptop computer

we know that

The inequality that represent this situation is equal to

`p\leq \$450`

Part B)

we know that

If a price is a solution of the inequality, then the price must satisfy the inequality

Verify each case

case A) For
`p=\$419`

Substitute the value of p in the inequality and then compare

`\$419\leq \$450` ------> is true

therefore

Rebecca can buy computer A

case B) For
`p=\$450`

Substitute the value of p in the inequality and then compare

`\$450\leq \$450` ------> is true

therefore

Rebecca can buy computer B

case C) For
`p=\$468`

Substitute the value of p in the inequality and then compare

`\$468\leq \$450` ------> is not true

therefore

Rebecca cannot buy computer C

case D) For
`p=\$451`

Substitute the value of p in the inequality and then compare

`\$451\leq \$450` ------> is not true

therefore

Rebecca cannot buy computer D