The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ 
∵ 
∵ 
∴ 
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
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Answer:
Lateral surface area of can = 47 inch² (Approx.)
Step-by-step explanation:
Given:
Diameter of given can = 3 inches
Height of given can = 5 inches
Find:
Lateral surface area of can
Computation:
Radius of can = 3 / 2 = 1.5 inch
Lateral surface area of can = Lateral surface area of cylinder
Lateral surface area of cylinder = 2πrh
Lateral surface area of can = 2πrh
Lateral surface area of can = 2(3.14)(1.5)(5)
Lateral surface area of can = 47.1
Lateral surface area of can = 47 inch² (Approx.)
a=adult tickets
s = senior tickets
a+s=465 a = 465-s
23a + 13s = 7145
substitute in a = 465-a
23 (465-s) + 13s = 7145
distrubute
10695 - 23s +13s =7145
combine like terms
10695 - 10s = 7145
subtract 10695 from each side
-10s = -3550
divide by -10
s = 355
senior tickets sold 355