# COMPARING A GRAPH AND A DESCRIPTION WORKSHEET

## About "Comparing a graph and a description worksheet"

Comparing a graph and a description worksheet :

Worksheet on comparing a graph and a description is much useful to the students who would like to practice problems on "Describing functions".

## Comparing a graph and a description worksheet - Problems

1. Jose wants to buy a new game system that costs \$200. He does not have enough money to buy it today, so he compares layaway plans at different stores. Store A requires an initial payment of \$60 and weekly payments of \$20 until the balance is paid in full. The plan at Store B is shown on the graph.

2. Alex is choosing between buying books at the bookstore or buying online versions of the books for his tablet. To buy books online, he has to pay an one time payment of \$1.50 for registration and \$6.95 per book. The cost of buying the books at the bookstore is shown in the graph. Which method of buying books is more expensive if Quentin wants to buy 6 books ?

## Comparing a graph and a description worksheet - Solution

Problem 1 :

Jose wants to buy a new game system that costs \$200. He does not have enough money to buy it today, so he compares layaway plans at different stores. Store A requires an initial payment of \$60 and weekly payments of \$20 until the balance is paid in full. The plan at Store B is shown on the graph.

Based on the information given above, find which store allows Jose to pay for the game system faster.

Solution :

Step 1 :

To find which store allows Jose to pay for the game system faster, let us have the deals offered by store A and B as equations.

Write an equation in slope-intercept form for Store A’s layaway plan.

Let x represent number of weeks and y represent the total money to be paid.

y  =  20x + 60

Step 2 :

Write an equation in slope-intercept form for Store B’s layaway plan.

Let x represent number of weeks and y represent the total money to be paid.

From the graph, y - intercept is 100 and the slope is 10

y  =  10x + 100

Step 3 :

In both the stores A and B, find the value of "x" (no. of weeks) for y = \$200 (Total money to be paid).

Store A

200  =  20x + 60

140  =  20x

7  =  x

Store B

200  =  10x + 100

100  =  10x

10  =  x

The total amount \$200 is completed in 7 weeks in store A and in 10 weeks in store B.

Hence, store A allows Jose to pay for the game system faster

Problem 2 :

Alex is choosing between buying books at the bookstore or buying online versions of the books for his tablet. To buy books online, he has to pay an one time payment of \$1.50 for registration and \$6.95 per book. The cost of buying the books at the bookstore is shown in the graph. Which method of buying books is more expensive if Quentin wants to buy 6 books ?

Solution :

Step 1 :

To find which method of buying books is more expensive if Quentin wants to buy 6 bookslet us have both the methods as equations.

Write an equation in slope-intercept form for buying books online.

Let x represent number of books and y represent the cost for x number of books.

y  =  6.95x + 1.50

Step 2 :

Write an equation in slope-intercept form for buying books at the book store.

Let x represent number of books and y represent the cost for x number of books.

From the graph, y - intercept is 0 and the slope is 7.5

y  =  7.5x + 0

y  =  7.5x

Step 3 :

In both the methods, find the value of "y" (cost) for x = 6 (number of books).

y  =  6.95 · 6 + 1.50

y  =  43.20

y  =  7.50 · 6

y  =  45

Hence, buying books at the book store is expensive.

After having gone through the stuff given above, we hope that the students would have understood "Comparing a graph and a description worksheet".

Apart from the stuff given on "Comparing a graph and a description worksheet", 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