SOS! PLEASE HELP ME!! The graph shows the cost of buying tickets to a concert.
a. What does the point (4,122) represent?
b. What is the unit rate?
c. What is the cost of buying 10 tickets?

a) The point (4, 122) represents that the cost of 4 tickets is $122

b) The unit rate is 30.5 dollars per ticket

c) The cost of buying 10 tickets is $305

Step-by-step explanation:

Let us solve the question

From the given graph

∵ The x-axis represents the number of tickets

∵ The y-axis represents the cost of tickets in dollars

∴ The line represents the relationship between the number of tickets

   and their cost

a)

∵ The point (4, 122) lies on the line

∴ x = the number of tickets

∴ y = their cost

∵ x = 4 and y = 122

∴ The cost of the 4 tickets is 122 dollars

∴ The point (4, 122) represents that the cost of 4 tickets is $122

b)

∵ The unit rate is the slope of the line

∵ The slope of the line = Δy/Δx, where

∵ The line passes through points (0, 0) and (2, 61)

∴ x1 = 0 and x2 = 2

∴ y1 = 0 and y2 = 61

→ Substitute them in the rule of the slope above

∴ The slope of the line = = = 30.5

∴ The unit rate is 30.5 dollars per ticket

c)

∵ The linear equation is y = m x + b, where

∵ m = 30.5 ⇒ the slope of the lone

∵ b = 0 ⇒ The line passes through the origin point (0, 0)

∴ The equation of the line is y = 30.5x

∵ x = 10 ⇒ number of tickets

→ Substitute x by 10 in the equation to find the cost of 10 tickets

∴ y = 30.5(10)

∴ y = 305

∴ The cost of buying 10 tickets is $305

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step-by-step explanation: