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4)) Trudy owns Creative Corporate Catering. For each event Trudy caters she keeps track of the number of guests and the total cost.This scatter plot shows her catering events so far this year and the line of best fit. 4)) Catering events 4)) The equation for the line of best fit is y=25x+200 According to the equation,which of these statements is true? Each additional guest increases the total cost of catering an event by about 25 Each additional guest increases the total cost of catering an event by about 200

Question

4)) Trudy owns Creative Corporate Catering. For each event Trudy caters she keeps track of
the number of guests and the total cost.This scatter plot shows her catering events so far
this year and the line of best fit.
4)) Catering events
4)) The equation for the line of best fit is
y=25x+200
According to the equation,which of these statements is true?
Each additional guest increases the total cost of catering an event by about 25
Each additional guest increases the total cost of catering an event by about 200

4)) Trudy owns Creative Corporate Catering. For each event Trudy caters she keeps track of the number of guests and the total cost.This scatter plot shows her catering events so far this year and the line of best fit. 4)) Catering events 4)) The equation for the line of best fit is y=25x+200 According to the equation,which of these statements is true? Each additional guest increases the total cost of catering an event by about 25 Each additional guest increases the total cost of catering an event by about 200

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JasperElite · Tutor for 8 years

Answer

The equation for the line of best fit is given as \(y = 25x + 200\). In this equation, \(y\) represents the total cost, and \(x\) represents the number of guests. The coefficient of \(x\) (which is 25) represents the slope of the line, and it indicates the rate of change in the total cost with respect to the number of guests.Step 1: Identify the slope of the line.The slope of the line is the coefficient of \(x\), which is 25 in the equation \(y = 25x + 200\).Step 2: Interpret the slope.The slope of 25 means that for each additional guest, the total cost increases by $25.Step 3: Compare the statements.Now, let's compare the two statements given:- Each additional guest increases the total cost of catering an event by about$25.- Each additional guest increases the total cost of catering an event by about $200.Step 4: Determine the correct statement.Based on the slope of the line, the correct statement is the first one: Each additional guest increases the total cost of catering an event by about$25.Answer:Each additional guest increases the total cost of catering an event by about $25.
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