The students in Ms. Chang's class decide to order water bottles that advertise the walkathon. Hyun obtains two different quotes for the costs of the bottles. a. For each company, write an equation Hyun could use to calculate the cost for any number of bottles b. On the same set of axes, graph both equations from part (a). Which variable is the independent variable? Which is the dependent variable? C. From which company do you think the class should buy water bottles? What factors influenced your decision? d. For what number of water bottles is the cost the same for both companies? Explain.

Respuesta :

The students' order of water bottle is an illustration of linear equation

  • The equations are y = 54x and y = 525 + 53x
  • The class should buy water bottles from Fill it Up Inc
  • 525 water bottles costs the same for both companies

The equation for the cost of bottle

For Fill it Up Inc, we have:

Cost = $54 per bottle

For Bottles by Bob, Co, we have:

Set-up fee = $525

Cost = $53 per bottle

So, the equations are:

  • Fill it Up Inc: y = 54x
  • Bottles by Bob: y = 525 + 53x

The number of bottle (x) represents the independent variable, while the total cost (y) represents the dependent variable

The graph

See attachment for graphs

The class decision

The class should buy water bottles from Fill it Up Inc, because Fill it Up Inc do not charge set-up fee, and the company's rate per bottle is just a little above Bottles by Bob

The number of bottle at equal cost

In (a), we have:

y = 54x and y = 525 + 53x

Substitute 54x for y in the second equation

54x = 525 + 53x

Subtract 53x from both sides

x = 525

Hence, water 525 water bottles costs the same for both companies

Read more about linear equations at:

https://brainly.com/question/14323743

Ver imagen MrRoyal