a. Explanation Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. b. To determine The cost of one gallon of gasoline and a car wash. Explanation Given information: Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. In the line, Y = 3.55 x + 8 , Here, x shows the quantity of gasoline bought and 3.55 is the cost of per gallon of gasoline. Also 8 shows the cost one car wash. c. To determine An inequality that represents the possible amount of gasoline that can be bought. Explanation Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. Now an inequality can be written as, the expenditure should be less than or equal to the budget. Thus we can write, 3.55 x + 8 ≤ 40 d. To determine The solution of the inequality using the graph. Explanation Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. Now an inequality can be written as, the expenditure should be less than or equal to the budget. Thus we can write, 3.55 x + 8 ≤ 40 Now we solve the inequality. 3.55 x + 8 ≤ 40 3.55 x ≤ 40 − 8 3.55 x ≤ 32 x ≤ 32 3.55 x ≤ 9.014 Thus we can say that a maximum of 9.014 gallons of gasoline can be bought in the given budget.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 2.4, Problem 36E

To determine

The amount of budget from the given graph.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 1

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

To determine

The cost of one gallon of gasoline and a car wash.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 2

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

In the line, Y=3.55x+8 ,

Here, x shows the quantity of gasoline bought and 3.55 is the cost of per gallon of gasoline.

Also 8 shows the cost one car wash.

To determine

An inequality that represents the possible amount of gasoline that can be bought.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 3

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

Now an inequality can be written as, the expenditure should be less than or equal to the budget.

Thus we can write,

3.55x+8≤40

To determine

The solution of the inequality using the graph.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 4

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

Now an inequality can be written as, the expenditure should be less than or equal to the budget.

Thus we can write,

3.55x+8≤40

Now we solve the inequality.

3.55x+8≤403.55x≤40−83.55x≤32x≤323.55x≤9.014

Thus we can say that a maximum of 9.014 gallons of gasoline can be bought in the given budget.

Chapter 2.4, Problem 35E

Chapter 2.4, Problem 37E

Chapter 2 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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