Question

Write the equation for this situation: The cost, T, in hundreds of dollars, at one community college is 5 more than 1/2 the number of credits, c.
Then graph the equation and use the graph to determine the cost of tuition if a student registers for 8 credits.

Answer 1

can you write the equation?

Answer 2

no

Answer 3

the cost of the college is given a "name" what name did they give it?

Answer 4

i dont see it giving it a name

Answer 5

The cost, T, in hundreds of dollars,

Answer 6

your saying the name is T

Answer 7

yes. so as you read the problem
The cost, T, in hundreds of dollars, at one community college is
we abbreviate this to
T is
(throw out all the other words)
in math, the word "is" often means = for example x is 10 means x=10

so T is becomes
T=
the start of an equation!

Answer 8

T is 5 more than
becomes
T= 5+

(5 more than means we add 5 more to something)

Answer 9

1/2 the number of credits, c.

they give a "name" for the number of credits. do you see what it is?

Answer 10

c.

Answer 11

c=8 right

Answer 12

just c. so the equation in words is
T is 5 more than 1/2 C

can you change that into math?

Answer 13

t=5+1/2c

Answer 14

T= 5+ c/2
or
T= C/2 +5

that is the equation of a line (but c for x, and T for y, but that's ok)

Then graph the equation
I would label the x-axis C (credits), and the vertical axis T (cost)
can you plot the line?

Answer 15

yes 1/2 times c plus 5
now you must plot it.
one easy point is when C=0: t= 5+(1/2)*0= 5 so (0,5) is one point.

Answer 16

another point might be when C=2
T= (1/2)*2+5 = 1+5= 6
so (2,6) is another point.

Answer 17

ok where does the 8 can in

Answer 18

Hi

{{T[H] = (1/2)c + 5

8 credits, then cost is $900.

Answer 19

use the graph to determine the cost of tuition if a student registers for 8 credits.

they want you to draw the line, then find where C=8 on the line and read off the T value.

Answer 20

@amber517 hope this works =)

Answer 21

huh

Answer 22

can you graph the line
t=5+(1/2)*c

Answer 23

idk

Answer 24

if it were
y= (1/2)*x + 5
could you graph it?

Answer 25

ya i thinkso

Answer 26

after plotting
y= (1/2)*x + 5
rename the x axis C
rename the y axis T
(because the problem uses those names rather than x and y)

Answer 27

y=1/2
x=5

Answer 28

no, when you have
y= (1/2)*x + 5

you can replace the x with a number (try 0) to get y (see the problem you worked on before this).
if x=0 can you find y? you are trying to find (0, ) (fill in the blank)
then plot that point.

then try x=2, find y and plot that point.
connect the dots to get a line

Answer 29

0,5
2,6

Answer 30

yes plot those points and draw a line through them.

then label the x-axis C
and the y-axis T

(to match the problem)

Answer 31

ok but what isthe 8 for not what i' understandng

Answer 32

First, did you plot the line?

Answer 33

Look at justin's graph

Answer 34

ok

Answer 35

after you plot the line, find 8 on the C axis (x axis), and follow it up until you reach the line. put a dot there on the line. then from the dot, move sideways to the left until you reach the T axis (y axis). read the number on the T axis.

Answer 36

7

Answer 37

are you sure? I got 9