Tables and Equations

Question

Make a table, write an equation, graph the equation.

 

1.Amanda’s family is buying a new vacation house in Hawaii. They are looking at different lot sizes. They want a rectangular lot with a square footage of 7,500 feet. What are some possible sizes of the lot? Make a chart to show the relationship between length and width.

2. Deana travels to Ocean City Maryland every year. It is a distance of 500 miles. Each year it takes a different amount of time to get there. Create a table to relates speed to time in hours.

Answer 1

1. The formula for a rectangle's area is A = l*h (or l*w, depending if you want to think in height or width).

 

We have the area: 7,500 ft², so what needs to happen is for you to decide on your dependent and independent variables:

7,500 ft² / l = w

 

Put in a value for l and divide 7500 by it, and you will get a corresponding width.

 

Your table will look something like this:

Possible 7,500 ft²

Lot Dimensions

-----------------

   l      |     w   |

-----------------

          |          |

          |          |

Repeat until you're satisfied with the number of possibilities for your chart. Don't forget to mark your units (ft).

 

 

2.  This works out in a similar fashion, only you're looking at miles per hour: We have a distance (500 miles), and you get to decide how long it takes to travel that length:

x miles * y = 500 miles

 

So, for example, if Deana traveled 1 hour, we'd have:

x miles * 1 hour = 500 miles

x miles = 500 1 hour, or 500 mph

 

If Deana too two hours:

x miles * 2 hours= 500 miles

Isolate the x by dividing both sides by 2:

x miles = 250 mils / hr

 

And so on.

 

Your chart will look a bit like:

Charting Deana's Speed

and Time for 500 miles:

      s      |    mph     |

------------------------

             |                |

             |                |