The equation that represents a proportional relationship is:
y = 32x
Because:
y/x = 32
So that implies that y is directly proportional to x.
Note that other equations represent a proportional relationship in some form, only that the relationship y = 32x is the only direct proportional relationship.
Answer: C 75
Step-by-step explanation: time to distance is ratio 4:5 = 60:X
In 1min He walks 5/4
in 60mins He walks 5/4 ×60
Answer:
49 tickets
Step-by-step explanation:
THis is pretty straight forward
So we have the ratio 4:7
We know there were 88 tickets in total but we don’t know the exact amount of adult and kids
So we can Add up the ratio
4+7=11
Now we can divide 88 by 11
you’ll get 7
So by doing this we know there are 7 groups of the ratio for child to adults 4:7
So we just multiply the 7 to each
4*7
7*7
you’ll get 28:49
Now we know there are 28 kid tickets and 49 adult tickets
We know this is correct becuase if you add up the ratio, it’ll be 88
Which is the same as the amount fo people at the hockey game
The answer is obviously three.
Let us formulate the independent equation that represents the problem. We let x be the cost for adult tickets and y be the cost for children tickets. All of the sales should equal to $20. Since each adult costs $4 and each child costs $2, the equation should be
4x + 2y = 20
There are two unknown but only one independent equation. We cannot solve an exact solution for this. One way to solve this is to state all the possibilities. Let's start by assigning values of x. The least value of x possible is 0. This is when no adults but only children bought the tickets.
When x=0,
4(0) + 2y = 20
y = 10
When x=1,
4(1) + 2y = 20
y = 8
When x=2,
4(2) + 2y = 20
y = 6
When x=3,
4(3) + 2y= 20
y = 4
When x = 4,
4(4) + 2y = 20
y = 2
When x = 5,
4(5) + 2y = 20
y = 0
When x = 6,
4(6) + 2y = 20
y = -2
A negative value for y is impossible. Therefore, the list of possible combination ends at x =5. To summarize, the combinations of adults and children tickets sold is tabulated below:
Number of adult tickets Number of children tickets
0 10
1 8
2 6
3 4
4 2
5 0
