Question

Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop down menus to complete the recursive formula, the function to represent the cost C of n tickets bought online, and the domain of the function. recursive formula: an=an−1 + ; a1 = function: C(n) = + domain: {0, , . . .}

Answer 1

Answer:

$C(n)=14n+2.50$

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

Find out the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{C2-C1}{n2-n1}$

substitute the values

$m=\frac{30.50-16.50}{2-1}$

$m=14$

Find the equation of the line in slope intercept form

$C=m(n)+b$

we have

$m=14$

$point(1,16.50)$

substitute

$16.50=14(1)+b$

$b=16.50-14$

$1b=2.50$

substitute

$C(n)=14n+2.50$

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}