The value of y varies directly as the square of x and y=36 when x=3. What is y when x=4?
1 answer:
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Answer: i. Cost of adult ticket = $ 30
ii. Cost of child ticket = $20
Step-by-step explanation:
Define variables:
Let x= cost of 1 adult tickets , y= cost of 1 child tickets.
Form linear equations:
5x+3y = 210 (i)
2x+5y= 160 (ii)
Multiply (i) by 2 and (ii) by 5
10x +6y = 420 (iii)
10x+25y = 800 (iv)
Eliminate (iii) from (iv)
19y = 380
⇒ y= 20
Put this in (i)
Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20
Answer:
m=2 or y=2x+1
Step-by-step explanation:
first use the y2-y1/x2-x1 formula and then use y=mx+b formula
plug in 3 for y2 and 1 for y1
plug in 1 for x2 and 0 for x1
so ur slope is 2
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for y=mx+b *extra info ig if u need it just incase*
i usually use the first point for this but u can use any one u want
plug in 0 for x
plug in 1 for y
and plug in 2 for m
1=2(0)+b
2*0=0
1=0+b
subtract o on both sides
1=b and b is ur y-intercept
y=2x+1
hope this helps