He starts saving $ in January to buy a gift in June. (which is 6 months, or 5 months not including June)
Each month he saves 2/3 of his allowance, which is $14.
[his allowance each month is $21, 2/3 of his allowance is $14]
(you multiply 21 by 2/3 = 42/3 = 14)
The gift he wants to buy is $110
x = the number of months
y = total cost
14x = y
14x = 110 [he saves $14 each month, he wants to have a total of $110 to buy a gift]
Plug in 6 for x in the equation
14(6) = 110
84 = 110 (He is $26 short, so saving either for 5 or 6 months will not get Ian $110)
Ian will not have enough money because he is $26 short for 6 months or $40 short for 5 months. (you can decide whether you want to go by 5 months or 6(including June), sorry for the confusing answer)
Answer:
We conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
k = y/x
where k is called the constant of proportionality
Given the points
For (10, 80)
substituting y = 80 and x = 10 in the equation
k = y/x
k = 80/10 = 8
For (20, 160)
k = y/x
k = 160/20 = 8
For (50, 400)
k = y/x
k = 400/50 = 8
It is clear that the value of k is the same for all the points.
Thus, the value of k = 8
Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
15, parker bought 15 tickets by the end of the month, don't forget to subtract the initial cost of the pass.
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