Chapter 1.1, Problem 11CYU

To determine

To evaluate: an expression to find the total cost and make a table showing the cost

Answer to Problem 11CYU

The total cost of tour bus for 25 passengers is $225$

Number of passengers	expression	evaluation	Cost($)
25	$75+(6\times 25)$	$75+150=225$	$225$
30	$75+(6\times 30)$	$75+180=225$	$225$
35	$75+(6\times 35)$	$75+210=285$	$285$
40	$75+(6\times 40)$	$75+240=315$	$315$

Explanation of Solution

Given:

A tour bus costs $75 plus $6 for each passenger.

Calculation:

Let the total number of passengers be 25,then the total cost for 25 passengers will be $75 plus 6 times 25 (as for each passenger$6cost is added so for total 25 passengers, the extra cost will be $6\times 25$

The expression for the total cost of tour bus for 25 passengers is

  $75+(6\times 25)$

Now, evaluate this expression to find the total cost of tour bus for 25 passengers.

  $75+(6\times 25)$

Now, to evaluate this expression, first solvethe bracket.

  $75+(6\times 25)=75+(150)=75+150$

Now, perform the addition

  $75+(6\times 25)=75+150=225$

The total cost of tour bus for 25 passengers is $225

Now make a table showing the cost for 25,30,35 and 40 passengers.

The expressions for any number of passengers will be like that of for 25 passengers except thatwill replace 25 by 30,35 or 40 as required.

Number of passengers	expression	evaluation	Cost($)
25	$75+(6\times 25)$	$75+150=225$	$225$
30	$75+(6\times 30)$	$75+180=225$	$225$
35	$75+(6\times 35)$	$75+210=285$	$285$
40	$75+(6\times 40)$	$75+240=315$	$315$

Conclusion:

The total cost of tour bus for 25 passengers is $225$