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
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Answer:
1st answer: 52 serves
2nd answer: $8.40
Step-by-step explanation:
1st: 80 times 65 equals 5,200 divided by 100 equals 52
2nd: 42 times 0.20 equals 8.4 or 8.40
Answer:
D.
Step-by-step explanation:
It is the number of square units contained in the interior.
Area is 2 dimensional.
Answer:
It’s already in standard form
Step-by-step explanation:
Answer:
70.01
steps by-step explanation:
