Which graphs show a proportional relationship? Select all that apply.
1 answer:
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Probability helps us to know the chances of an event occurring. The correct option is A.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring.
Dependent events are those events in which the outcome of the first event affects the outcome of the second event. The statement that is correct about the dependent event is that the probability of all dependent events can be calculated using the "OR" formula P(A+B) =P(A) +P(B)-P(A and B).
Hence, the correct option is A.
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cost of one regular admission ticket = $ 10
cost of one senior citizen ticket = $ 5
<h3><u>Solution:</u></h3>Let "r" be the cost of one regular admission ticket
Let "s" be the cost of one senior citizen ticket
Given that,
<em><u>On day 1 you sold 30 Regular Admission tickets and 20 Senior Citizen tickets for a total of $400</u></em>
So we can frame a equation as:
30 Regular Admission tickets x cost of one regular admission ticket + 20 Senior Citizen tickets x cost of one senior citizen ticket = $ 400
30r + 20s = 400 ----- eqn 1
<em><u>Day two you sell 40 Regular Admission tickets and only 10 Senior Citizen tickets for a total of $450</u></em>
So we can frame a equation as:
40 Regular Admission tickets x cost of one regular admission ticket + 10 Senior Citizen tickets x cost of one senior citizen ticket = $ 450
40r + 10s = 450 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "r" and "s"</u></em>
Multiply eqn 2 by 2
80r + 20s = 900 --- eqn 3
Subtract eqn 1 from eqn 3
80r + 20s = 900
30r + 20s = 400
(-) ---------------------
50r = 500
<h3>r = 10</h3>Substitute r = 10 in eqn 1
30r + 20s = 400
30(10) + 20s = 400
300 + 20s = 400
20s = 100
<h3>s = 5</h3><em><u>Thus we have:</u></em>
cost of one regular admission ticket = $ 10
cost of one senior citizen ticket = $ 5