mathematics hw

I have easy mathematics questions which can be solved in less than 30 min, and I need it in 4 hours.

 

1-Write equations for the vertical and horizontal 
lines passing through the point 

7,
 
4

 .

 

 
 
 
2- 
The Sugar Sweet Company is going to transport its sugar to market. It will cost
 
$
5000

 to rent trucks, and it will cost an additional 

$
200

 for each ton of sugar transported.

 

Let 

C

 represent the total cost (in dollars), and let 

S

 represent the amount of sugar (in tons) transported. Write an 
equation relating 

C

 to 

S

 .

 

 

 
3- 
Brian is driving to Dallas. Suppose that the remaining distance to drive (in miles) is a linear
function
 
of his driving time (in minutes). When graphed, the function gives a
 
line
 
with a
 
slope
 
of
 
 

0.85

 . See the figure below.

Brian has 

68

 miles remaining after 

45

 minutes of driving. How many miles will be remaining after 

65

 minutes of driving?

 

 

4- Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 

14

 gallons of fuel, the airplane weighs 

2177

 pounds. When carrying 

40

 gallons of fuel, it weighs 

2320

 pounds. How much does the airplane weigh if it is carrying 

58

 gallons of fuel?

 

5- Graph the 
set 

<

x
 
|
 
2
<
x
3

 on the number line. 

Then, write the set using 
interval notation.

 
6- 
Suppose that the 
function 

g

 is defined , for all real numbers, as follows.

=
g
x


1
 
 
 

<
if
 
x

2


+
x
1
2
3
 
 
 



if
 
2
<
x
1



1
2
x
1
 
 
 


if
 
x
1

Find the following.

 
g(-1)=
g(1)= 
g(5)=

 

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