Answer: Choice A) y = 2x
slope = 2, y intercept = 0
===================================================
Explanation:
We can see this by noting that each y coordinate is simply doubled that of the x coordinate.
- x = 1 doubles to y = 2
- x = 2 doubles to y = 4
So in general, x doubles to 2x to get the y coordinate. Therefore, y = 2x.
----------
Alternative method:
A more thorough step by step process would have us first finding the slope
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - 1)
m = 2/1
m = 2 is the slope
Use this slope value along with one of the points to find b. I'll use the point (x,y) = (1,2)
So,
y = mx+b
2 = 2*1+b
2 = 2+b
2-2 = b
0 = b
b = 0 is the y intercept
We go from y = mx+b to y = 2x+0, which simplifies to y = 2x
F/3+36=c subtract 36 from both sides
f/3=c-36 multiply both sides by 3
f=3c-108
Answer:
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
Total charge for 12 miles
=
$
20.75
Explanation:
Building the rule
The trick with algebra is to think what you would do with numbers, then substitute letters.
Mile number 1 costs
$
4.25
The rest of the miles
⇒
(
total miles
−
1
)
×
$
1.50
Putting this all together we have:
$
4.25
+
(
total miles
−
1
)
×
$
1.50
The question instructs that we are to use the letter m for the total miles so we now have:
$
4.25
+
(
m
−
1
)
×
$
1.50
This would be written as:
$
4.25
+
$
1.50
(
m
−
1
)
So
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine the charge for 12 miles
Total charge
=
$
4.25
+
$
1.50
(
12
−
1
)
Total charge
=
$
4.25
+
$
1.50
(
11
)
Total charge for 12 miles
=
$
4.25
+
$
16.50
=
$
20.75
Hope this helps you...
:)
Answer: -4
Step-by-step explanation: