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:
the answer would be B. Gambling generates state taxes.
250 + 100 = 350
350 + 1000 = 1350
1350 / 5 = 270
they need to sell 270 tickets
answer is B
Answer:
y = 3^(x + 1).
Step-by-step explanation:
Here the y values are increasing by a factor 3 and when x = 0 y = 3,
so y = (3)^1 when x = 0 - that is y = (3)^(0 + 1) = 3.
So y = 3^(x + 1) is the rule.
Check: when x = -2, y = 3^(-2+1) = 3 ^-1 = 1/3.
When x = 1, y = 3(1+1) = 3^2 = 9.