Answer: y = 0.45x + 21
Step-by-step explanation:
let x represent the number of minutes used in a month.
Let y represent the monthly cost for x minutes.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (304.5 - 183)/(630 - 360)
m = 121.5/270 = 0.45
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = y intercept
m = slope
To determine the y intercept, we would substitute x = 360, y = 183 and m = 0.45 into y = mx + c. It becomes
183 = 0.45 × 360 + c
183 = 162 + c
c = 183 - 162
c = 21
The equation for the monthly cost is
y = 0.45x + 21
Hope this helps!
1. 6
2. 64
The volume of the shape is 6 cubic units
<h3>How to determine the volume of the shape?</h3>
<u>Method 1</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Number of cubes * Volume of each cube
Substitute the known values in the above equation
Volume = 6 * 1
Evaluate
Volume = 6
<u>Method 2</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- 2 cubes at the top and 4 at the bottom
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Top cubes + Bottom cubes
This gives
Volume = 2 * Volume of each cube + 4 * Volume of each cube
Substitute the known values in the above equation
Volume = 2 * 1 + 4 * 1
Evaluate
Volume = 6
Hence, the volume of the shape is 6 cubic units
Read more about volumes at:
brainly.com/question/1972490
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Answer:
(3/2)power 3 = 27/8 =3.375
