yes the table represents direct variation
the equation is y=3.99x
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:
y = 2x - 6
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The y-intercept is already given and is -6.
By c intercept, I am assuming you meant x-intercept. With an x-intercept of 3, the point is (3,0). With a y-intercept of -6, the point is (0,-6).
Use the two points to find the slope using the following equation.

Plug the points into their respective positions and solve.

The slope is 2.
Your equation is y = 2x - 6.