Question

The table below shows the total cost for purchasing a certain number of equally-priced concert tickets.Total cost (in dollars) | Number of concert 110, 275, 440. tickets 2,5,8Write an equation to describe the relationship between (t), the number of tickets, and (c), the total cost of tickets__________

Answer 1

To find an equation to describe the relationship between t and c you:

1. Find what is the dependent variable and the independent variable

In this case the total cost of the tickets depend of the number of tickets. Then:

Dependent variable is C

Independent variable is T

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You can see in the table that the difference between the cost of the tickects is 165 for every 3 tickets. you find this by substracting the data in every column, as follow:

Then, the equation will be a lineal equation with a slope of:

$m=\frac{165}{3}=55$

You use a point of the lineal relationship to find the equation:

(2,110) t1=2 c1= 110

You use the next formula:

$y=mx+b$

You replace the coordinates of the point and find the value of b:

$110=55(2)+b$$b=110-110=0$

The equation is:$c=55t$