Chapter ISG, Problem 1.11STP

a.

To determine

To interpret meaning of terms

Answer to Problem 1.11STP

0.8x is discount and 150 is rebate

Explanation of Solution

Given information:

Function $p(x)=0.8x-150$

By looking at the function, it can be interpreted that $0.8x$ is the discount and 150 is the rebate x is the actual price.

b.

To determine

To evaluate $p(1500)$

Answer to Problem 1.11STP

$1050 is the price paid for the television after sale and rebate

Explanation of Solution

Given information:

  $p(x)=0.8x-150$

Calculation:

Substituting values of x,

  $p(1500)=0.8(1500)-150$

Solving the expression,

  $p(1500)=1200-150$

Subtracting,

  $p(1500)=1050$

Hence, $1050 is the price paid for the television after sale and rebate

c.

To determine

To find the retail price

Answer to Problem 1.11STP

Range is (970, 1290)

Explanation of Solution

Given information:

  $p(x)=0.8x-150$

Calculation:

According to question,

Domain is (1400, 1800)

Find range

  $p(1400)=0.8(1400)-150$

Solving,

  $p(1400)=1120-150$

So,

  $p(1400)=970$

For

  $p(1800)=0.8(1800)-150$

Solving,

  $p(1800)=1440-150$

So,

  $p(1800)=1290$

Amount between $970 and $1290 is the retail price she paid for the television.

Hence, range is (970, 1290)