# REPRESENTING RATES WITH TABLES AND GRAPHS WORKSHEETS

## About "Representing rates with tables and graphs worksheets"

Representing rates with tables and graphs worksheets :

Worksheets on representing rates with tables and graphs are much useful to the students who would like to practice problems on ratios.

## Representing rates with tables and graphs worksheets - Problems

Problem 1 :

Look at the picture given below.

An express train travels from Webster to Washington, D.C., at a constant speed and makes the trip in 2 hours.

Fromm the above information, answer the following questions :

(i)  Make a table to show the distance the train travels in various amounts of time.

(ii)  Graph the information from the table.

(iii)  Use the graph to find how long the train takes to travel 90 miles.

Problem 2 :

Look at the picture below.

Lily drives from Clarkson to Humbolt in 2 hours. Suppose Lily drives for 10 hours. If she maintains the same driving rate, can she drive more than 600 miles ?

## Representing rates with tables and graphs worksheets - Solution

Problem 1 :

Look at the picture given below.

An express train travels from Webster to Washington, D.C., at a constant speed and makes the trip in 2 hours.

Question (i) :

Make a table to show the distance the train travels in various amounts of time.

Write a ratio of distance to time to find the rate.

Use the unit rate to make a table.

Question (ii) :

Graph the information from the table.

Write ordered pairs with time as the x-coordinate and distance as the y-coordinate.

(1, 60), (2, 120), (3, 180), (4, 240), (5, 300)

Graph the ordered pairs. Fractions and decimals can represent times and distances, so connect the points.

Question (iii) :

Use the graph to find how long the train takes to travel 90 miles.

When we look at the graph carefully, the value on y - axis which is corresponding to 1.5 on x-axis  is 90.

Look at the graph given below.

When we look at the above graph carefully, the value on y- axis which is corresponding to the value 1.5 on x-axis is 90.

The point (1.5, 90) is on the graph, so the train takes 1.5 hours.

Problem 2 :

Look at the picture below.

Lily drives from Clarkson to Humbolt in 2 hours. Suppose Lily drives for 10 hours. If she maintains the same driving rate, can she drive more than 600 miles ?

Solution :

A double number line graph is useful, because the regular intervals represent equivalent rates that compare different quantities. The one shown compares the number of miles driven to the time driven for different amounts of time.

She covers 112 miles of distance in 2 hours. Since she maintains the same driving rate, every 2 hours, the distance covered will be increased by 112 miles.

In 8 hours she would have covered 448 miles of distance. After 2 hours, that is in 10 hours, the distance covered will be increased by 112 miles.

So, the distance covered in 10 hours is 560 miles.

It is shown in the double number line graph given below.

Conclusion :

From the above working, it is clear that she can not cover more than 600 miles in 10 hours, if she maintains the same driving rate.

After having gone through the stuff given above, we hope that the students would have understood "Representing rates with tables and graphs worksheets".

Apart from the stuff given above, if you want to know more about "Representing rates with tables and graphs worksheets", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6