# USING SLOPE TO COMPARE UNIT RATES WORKSHEET

Using Slope to Compare Unit Rates Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on comparing unit rates using slope.

## Using Slope to Compare Unit Rates Worksheet - Problems

Problem 1 :

The equation y = 2.75x represents the rate, in barrels per hour, that oil is pumped from Well A. The graph represents the rate that oil is pumped from Well B. Which well pumped oil at a faster rate ?

Problem 2 :

The equation y = 375x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for Plane A. The table represents the relationship for Plane B. Find the slope of the graph for each plane and the plane’s rate of speed. Determine which plane is flying at a faster rate of speed.

## Using Slope to Compare Unit Rates Worksheet - Solutions

Problem 1 :

The equation y = 2.75x represents the rate, in barrels per hour, that oil is pumped from Well A. The graph represents the rate that oil is pumped from Well B. Which well pumped oil at a faster rate ?

Solution :

Step 1 :

Use the equation y = 2.75x to make a table for Well A’s pumping rate, in barrels per hour.

Step 2 :

Use the table to find the slope of the graph of Well A.

Slope  =  Unit rate

Slope  =  (5.5 - 2.75) / (2 - 1)

Slope  =  2.75 / 1

Slope  =  2.75 barrels/hour.

Step 3 :

Use the graph to find the slope of the graph of Well B.

Slope  =  Unit rate

Slope  =  rise / run

Slope  =  10 / 4

Slope  =  2.5 barrels/hour.

Step 4 :

Compare the unit rates.

2.75 > 2.5

So Well A’s rate, 2.75 barrels/hour, is faster.

Problem 2 :

The equation y = 375x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for Plane A. The table represents the relationship for Plane B. Find the slope of the graph for each plane and the plane’s rate of speed. Determine which plane is flying at a faster rate of speed.

Solution :

Step 1 :

Use the equation y  =  375x to find the slope of the graph of Plane A.

Slope  =  Unit rate

Here, unit rate is the distance covered by the plane in one hour.

To find unit rate, plug x  =  1 in y  =  375x

Slope  =  375(1)

Slope  =  375 miles/hour

Step 2 :

Use the table to find the slope of the graph of Plane B.

Slope  =  Unit rate

Slope  =  (850 - 425) / (2 - 1)

Slope  =  425 / 1

Slope  =  425 miles/hour.

Step 3 :

Compare the unit rates.

425 > 375

So, Plane B is flying faster.

After having gone through the stuff given above, we hope that the students would have understood, how to compare unit rates using slope.

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

You can also visit our following web pages on different stuff in math.

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