Chapter 6.2, Problem 26PPS

a.

To determine

To find: Variables, equations to represent the situation.

Answer to Problem 26PPS

Variables are $x$ be the number of tickets purchased and $y$ be the Cost

Bookers equation = $y$ = $65x+10$

Paula equation = $y$ = $69x+13.6$ .

Explanation of Solution

Given information:

Booker Cost of each ticket =$65

Paula Cost of each ticket = $69

Onetime fee for Booker =$10

Onetime fee for Paula = $13.6

Let $x$ be the number of tickets purchased and $y$ be the Cost.

Total cost of tickets = Cost of each ticket $\times$ number of tickets + onetime fee

Bookers equation = $y$ = $65x+10$

Paula equation = $y$ = $69x+13.6$ .

b.

To determine

To find: Create a table of values for 1 to 5 tickets for eaxhpersons’s purchase.

Explanation of Solution

Given information:

Booker Cost of each ticket =$65

Paula Cost of each ticket = $69

Onetime fee for Booker =$10

Onetime fee for Paula = $13.6

Bookers concert tickets :-

Number of tickets	Cost($)
1	$65\left(1\right)+10=75$
2	$65\left(2\right)+10=140$
3	$65\left(3\right)+10=205$
4	$65\left(4\right)+10=270$
5	$65\left(5\right)+10=335$

Paula’s concert tickets :-

Number of tickets	Cost($)
1	$69\left(1\right)+13.6=82.6$
2	$69\left(2\right)+13.6=151.6$
3	$69\left(3\right)+13.6=220.6$
4	$69\left(4\right)+13.6=289.6$
5	$69\left(5\right)+13.6=358.6$

c.

To determine

To find: Graph of these equations.

Explanation of Solution

Given information:

Booker Cost of each ticket =$65

Paula Cost of each ticket = $69

Onetime fee for Booker =$10

Onetime fee for Paula = $13.6

  

Blue line represents Paula, $y=69x+13.6$

Red line represents Booker, $y=65x+10$

d.

To determine

To find: Determine who received the better deal.

Answer to Problem 26PPS

Booker received the better deal

Explanation of Solution

Given information:

Booker Cost of each ticket =$65

Paula Cost of each ticket = $69

Onetime fee for Booker =$10

Onetime fee for Paula = $13.6

  

Blue line represents Paula, $y=69x+13.6$

Red line represents Booker, $y=65x+10$

In the first quadrant Paula is always paying more money for the tickets than Booker because since the Slope of Paula’s curve is greater than Slope of Booker’s curve.

So Booker received the better deal.