Chapter 7.1, Problem 40STP

To determine

Which expression represents the total cost of admission and a movie for p people.

Answer to Problem 40STP

  $p\left(d+t\right)$ .

Explanation of Solution

Given information:

Admission to a science museum is dollars and a ticket for the 3-D movie is t dollars.

Concept Used:

Distributive property:

• Left Distributive property: $a\left(b\pm c\right)=a\cdot b\pm a\cdot c$
• Right Distributive property: $\left(a\pm b\right)c=a\cdot c\pm b\cdot c$

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to write the expression for the total cost of admission and a movie for p people, first adding the cost of science museum and 3-D movie then multiplying it by p the number of people, So the expression is as shown below:

  $p\left(d+t\right)$

Thus, the expression is $p\left(d+t\right)$ .