Give the slope of the graph and the unit rate
1 answer:
Answer:
y=5/4 x
The slope is 5/4
Step-by-step explanation:
To solve this problem we need to find the equation of the line, y=mx+b
We've been given a table with several points, so we can use two of them to perform our calculus.
To obtain the slope we need to use the equation of slopes:
Where (x1,y1) =(4,5) and (x2,y2)=(8,10)
m= (10-5)/(8-4)=5/4
To obtain b we can use the point (x2,y2)=(8,10) in the equation.
10=5/4 *8 +b
b=0
Hence our line has the following equation:
y=5/4 x
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The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface,
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface,
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism,
The volume of the given trapezoidal prism is 312 cubic units.