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Problem 1:  Fill in the boxes below to solve the statement.

 

Find f(2) for the function f(x) = |3x |

 

f(x) = |3x|

 

f(2) = |3 *          |   = |          |   = 

 

 

Problem 2:  Fill in the boxes below to solve.

 

Find the slope of  -7x + 2y = 8 using slope intercept form

 

-7x + 2y = 8

 

2y = 7x + 8                    Add            to both sides

 

 y =  (7/           )  x + 4      Divide both sides by 

 

Is this equation now in slope intercept form?  

 

The slope of the line is

 

 

Problem 3: Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. (Assume the car travels the same distance for each one gallon of gas)

 

The number of miles traveled varies directly with the number of gallons of gas you use.

 

Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in the equation.

 

How far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to determine this answer)

 Oct 3, 2019
 #1
avatar+19832 
+3

Problem 1:  Fill in the boxes below to solve the statement.

 

Find f(2) for the function f(x) = |3x |

 

f(x) = |3x|

 

f(2) = |3 *    2     |   = |   6      |   =  6

 Oct 3, 2019
 #2
avatar+19832 
+3

 

Problem 2:  Fill in the boxes below to solve.

 

Find the slope of  -7x + 2y = 8 using slope intercept form

 

-7x + 2y = 8

 

2y = 7x + 8                    Add       7x   to both sides

 

 y =  (7/   2      )  x + 4      Divide both sides by  2

 

Is this equation now in slope intercept form?   Yes

 

The slope of the line is     7/2

 Oct 3, 2019
 #3
avatar+19832 
+3

 

Problem 3: Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. (Assume the car travels the same distance for each one gallon of gas)

 

The number of miles traveled varies directly with the number of gallons of gas you use.

 

Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in the equation.

 

How far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to determine this answer)

 

392 miles /14 gals = 28 m/g      or  28 mpg

 

x =gallons used       miles travelled = 28x

 

Miles travelled = 28 (3.7) = ?

 Oct 3, 2019

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