trudy owns creative corporate catering. for each event trudy caters, she keeps track of the number of guests…
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. catering events 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 $200. each additional guest increases the total cost of catering an event by about $25.
Answer
Explanation:
Step1: Analizar la ecuación lineal
La ecuación de la recta de mejor ajuste es $y = 25x+200$, donde $y$ es el costo total y $x$ es el número de invitados. En una ecuación lineal de la forma $y = mx + b$, $m$ es la pendiente y $b$ es la intersección con el eje - y.
Step2: Interpretar la pendiente
La pendiente $m = 25$. En el contexto del problema, la pendiente representa el cambio en el costo total ($y$) por cada cambio en el número de invitados ($x$). Esto significa que por cada invitado adicional ($\Delta x = 1$), el costo total aumenta en un valor igual a la pendiente.
Answer:
Each additional guest increases the total cost of catering an event by about $25.