Question

I need to find the constant of proportionality and write an equation that represents the graphAnd find the cost of 14 tickets

Answer 1

Answer:

• The equation that represents the graph is

$y=13x$

• The constant of proportionality is zero (0)

• The cost of 14 tickets is $182

Explanation:

The equation of the line is:

y = mx + b

where m is the slope, and b is the y-intercept.

Using the points (2, 26) and (5, 65)

$m=\frac{65-26}{5-2}=\frac{39}{3}=13$

Using this and the point (2, 26) to obtain the value of b

$\begin{gathered} y=13x+b \\ 26=13(2)+b \\ b=26-26=0 \end{gathered}$

Therefore, the equation is:

$y=13x$

The constant of proportionality is 0

The cost of 14 tickets is obtained by putting x = 14 in the derived equation

$y=13(14)=182$