Tickets. Revenue
0. 0
10. 50
20. 100
30. 150
40. 200
what is the linear equation in relation between revenue,R, and the number of tickets purchased,T.
thanks for the help in advance. very much appreciated
R=_________
surely you can see that each ticket costs $5
To find the linear equation that relates revenue (R) and the number of tickets purchased (T), we need to determine the slope (m) and y-intercept (b) of the equation.
From the given data, we can see that with every increase of 10 tickets sold, the revenue increases by $50. This indicates a constant rate of increase, which is the slope (m).
We can calculate the slope (m) using the formula: m = (change in y / change in x), where x represents the number of tickets purchased (T) and y represents the revenue.
Here, the change in x (Δx) = 10 (as stated in the problem) and the change in y (Δy) = 50 (also stated in the problem).
So, the slope (m) = Δy / Δx = 50 / 10 = 5.
Next, we need to find the y-intercept (b), which is the value of revenue when the number of tickets sold is zero.
From the given data, we can see that when no tickets are sold (T = 0), the revenue is also zero (R = 0). Therefore, the y-intercept is 0.
Now that we have the slope (m) and y-intercept (b), we can write the linear equation in the form of y = mx + b.
Substituting the values, we get R = 5T + 0.
Therefore, the linear equation that relates revenue (R) and the number of tickets purchased (T) is R = 5T.