Math Help

1.

Student: Kiare Mays Date: 06/15/20

Instructor: Valery Shemetov Course: MTH154 – Quantitative Reasoning (with MCR4)

Assignment: Section 5.1 Homework

The distance you drive is proportional to the amount of gas used. Driving miles uses gallons of gas. Complete parts (a) through (c).

112 4

(a) Fill in the following table.

( )Gas gal ( )Distance mi 0 4 8 12

(Type integers or decimals.)

(b) Represent the relationship between distance driven, D, and gas used, G, with an equation.

D G= • (Type an integer or a decimal.)

(c) What is the graph of the equation that represents the relationship between driven, D, and gas used, G?

A.

100 20

200

0

400

Gas (gal)

D is

ta nc

e (m

i)

B.

100 20

200

0

400

Gas (gal)

D is

ta nc

e (m

i)

C.

100 20

200

0

400

Gas (gal)

D is

ta nc

e (m

i)

D.

100 20

200

0

400

Gas (gal)

D is

ta nc

e (m

i)

2. The cost of an airline ticket is proportional to the distance traveled at a rate of $ per miles flown. Complete parts (a) through (c).

36 100

(a) Fill in the following table.

( )Distance mi ( )Cost $ 0 50

100 150

(Type integers or decimals. Do not include the $ symbol in your answers.)

(b) Represent the relationship between cost, C, and distance flown, D, with an equation.

C D= • (Type an integer or a decimal. Do not include the $ symbol in your answer.)

(c) What is the graph of the equation that represents the relationship between cost, C, and distance flown, D?

A.

750 150

30

0

60

Distance (mi)

C os

t ( $)

B.

750 150

30

0

60

Distance (mi)

C os

t ( $)

C.

750 150

30

0

60

Distance (mi)

C os

t ( $)

D.

750 150

30

0

60

Distance (mi)

C os

t ( $)

3.

4.

Your monthly electric bill is proportional to the number of kilowatt-hours (kwh) of energy used at a rate of cents per kwh. Complete parts (a) through (c).

4.3

(a) Fill in the following table.

( )Energy kwh ( )Cost $ 0

600 1,200 1,800

(Type integers or decimals rounded to the nearest hundredth as needed. Do not include the $ symbol in your answers.)

(b) Represent the relationship between cost ($), C, and energy used (kwh), E, with an equation.

C E= • (Type an integer or a decimal. Do not include the $ symbol in your answer.)

(c) What is the graph of the equation that represents the relationship between cost ($), C, and energy used (kwh), E?

A.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

B.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

C.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

D.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

Plot the ordered pair ( , ) on the rectangular coordinate plane.

2 8

Plot ( , ).2 8

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

5.

6.

Plot the point in the rectangular coordinate system.( − 8, − 2)

Plot .( − 8, − 2)

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

The distance you drive is proportional to the amount of gas used. Driving miles uses gallons of gas. Assume you have already driven miles. Complete parts (a) through (c).

144 4 100

(a) Fill in the following table for total distance driven.

( )Gas gal ( )Distance mi 0 4 8 12

(Type integers or decimals.)

(b) Represent the relationship between distance driven, D, and gas used, G, with an equation.

D G= • + (Type integers or decimals.)

(c) What is the graph of the equation that represents the relationship between distance driven, D, and gas used, G?

A.

100 20

300

0

600

Gas (gal)

D is

ta nc

e (m

i)

B.

100 20

300

0

600

Gas (gal)

D is

ta nc

e (m

i)

C.

100 20

300

0

600

Gas (gal)

D is

ta nc

e (m

i)

D.

100 20

300

0

600

Gas (gal)

D is

ta nc

e (m

i)

7. The cost of an airline ticket is proportional to the distance traveled at a rate of $ per miles flown. Assume that there is a base charge of $ . Complete parts (a) through (c).

42 150 25

(a) Fill in the following table for total cost.

( )Distance mi ( )Cost $ 0

150 300 450

(Type integers or decimals. Do not include the $ symbol in your answers.)

(b) Represent the relationship between cost, C, and distance flown, D, with an equation.

C D= • + (Type integers or decimals. Do not include the $ symbol in your answers.)

(c) What is the graph of the equation that represents the relationship between cost, C, and distance flown, D?

A.

2250 450

80

0

160

Distance (mi)

C os

t ( $)

B.

2250 450

80

0

160

Distance (mi)

C os

t ( $)

C.

2250 450

80

0

160

Distance (mi)

C os

t ( $)

D.

2250 450

80

0

160

Distance (mi)

C os

t ( $)

8.

9.

10.

Your monthly electric bill is proportional to the number of kilowatt-hours (kwh) of energy used at a rate of cents per kwh. There is a monthly base charge of $ . Complete parts (a) through (c).

4.5 17.50

(a) Fill in the following table for total monthly cost.

( )Energy kwh ( )Cost $ 0

600 1200 1800

(Type integers or decimals. Do not include the $ symbol in your answers.)

(b) Represent the relationship between cost ($), C, and energy used (kwh), E, with an equation.

C E= • + (Type integers or decimals. Do not include the $ symbol in your answers.)

(c) What is the graph of the equation that represents the relationship between cost ($), C, and energy used (kwh), E?

A.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

B.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

C.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

D.

10000 2000

50

0

100

Energy (kwh)

C os

t ( $)

Determine which ordered pairs satisfy the given equation.

x + 5y = 19 ( )4,3 ( )− 1,4 ( )0, − 3

Select all ordered pairs that satisfy the given equation.

A. ( )0, − 3 B. ( )4,3 C. ( )− 1,4 D. None of the ordered pairs satisfy the equation.

Determine which ordered pairs satisfy the given equation.

5x − 4y = 9 9 5 ,0 ( )5,4 ( )0, − 4

Select all ordered pairs that satisfy the given equation.

A. 9 5 ,0

B. ( )5,4

C. ( )0, − 4

D. None of the ordered pairs satisfy the equation.