Question

The equation yˆ=105.416x+1249.309 models the amount of money, in dollars, a charity raises during an annual event when x people attend the charity dinner. What does the y-intercept of the equation represent in context of the situation? It costs the charity $105 to host the dinner. If no one came to the dinner, the charity would still raise about $105. It costs the charity $1250 to host the dinner. If no one came to the dinner, the charity would still raise about $1250.

Answer 1

For this case we have the following equation:
 $y = 105.416x + 1249.309$
 Where,
 x: number of people.
 y: the amount of money, in dollars.
 The intersection with the y axis occurs when x = 0.
 We have then:
 $y = 105.416 (0) +1249.309 y = 0 + 1249.309 y = 1249.309$
 That is, if no one attends, the amount of money is $ 1250.
 Answer:
 If no one came to the dinner, the charity would still raise about $ 1250.