As ordered pairs ( g , C ) where g is the number of games and C is the cost
( 5, 20.50) and ( 9, 28.50)
the slope M = ( 28.50 - 20.50 ) / (9-5)
= 8/4
= 2
So the slope M=$2 per game
Using (5, 20.50)
The intercept B = y - m* g
= 20.50 - 2 * 5
= 20.50 - 10
= 10.50
So the fixed base cost, or FLAT RATE is $10.50.
That is if they played ZER0 games, they still have
to pay $10.50 just to get in.
The linear function is C (g) = 2*g + 10.50
The first thing we must do for this case is find the number of boys surveyed.
We have then:
(1-0.45) * (80) = 44
We are now looking for the number of boys employed.
We have then:
(1-0.25) * (44) = 33
Answer:
there are 33 boys employed.
Answer:
<u>maximum of 2 bicycle</u>
Step-by-step explanation:
Given the average cost per bicycle modeled by the equation
C(x) = 0.5x^2-1.5x+4.83
C(x) is in hundreds of dollars
x is number of bicycle
The number of bicycle that will minimize the cost occurs when dC/dx = 0
dC/dx = 2(0.5)x - 1.5
dC/dx = x - 1.5
Since dC/dx = 0
0 = x - 1.5
x = 0+1.5x = 1.5
Hence the shop should buy <u>maximum of 2 bicycle</u> to minimize the cost
Answer:
See below, :)
Step-by-step explanation:
Hello!
From the exterior angle theorem, we know that an exterior angle is equal to remote interior angles added up. The exterior angle in this problem is 140 degrees so we also know that the remote interior angles are congruent. We can denote the interior angles as x and both combined is 2x.
Then we can create the equation:
2x = 140
x = 70
The two remote interior angles are 70 degrees.
The last interior angle is 180 - 140 = 40 degrees
