A proportional graph is a straight line that goes through the origin while a non-proportional graph is a straight line that doesn't go through the origin.
y = mx + b
the b represents the y-intercept, so -3 is the y-intercept in the equation y = 3x -3
therefore, the line doesn't go through the origin and is a non-proportional equation
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer: The force, F, acting on a charged object varies inversely to the square of its distance, r, from another charged object. When the two objects are 0.64 meter apart, the force acting on them is 8.2 Newtons
Step-by-step explanation: )
Answer:
3 hours
Step-by-step explanation:
To find the number of hours the plumber was at the house, we need to solve for x.
22x + 50 = 116
22x = 116 - 50
22x = 66
22x/22 = 66/22
x = 3
Answer:
$10.75 x 3 1/2 = $37.625 (rounded to the nearest cent: $37.63). $10.75 x 5 = $53.75. $37.625 + $53.75 = $91.375. (rounded to the nearest cent: $91.38) hope this helps
Step-by-step explanation:
- Zombie