The student council is having a dinner fund-raiser. the cost to rent the banquet hall for an evening is $185. the cost per plate of food is $3.50. if the tickets to the dinner banquet are $17.50 per person, how many people must attend in order for the school to earn a profit?

Given

cost to rent the banquet hall for an evening is $185. The cost per plate of food is $3.50. If the tickets to the dinner banquet are $17.50 per person

find out  people must attend in order for the school to earn a profit.

To proof

banquet hall cost =$185

cost per plate of food =$3.50

tickets to the dinner banquet =$17.50

let the number  of people attend the  dinner = x

the equation becomes

17.50x - (3.5x + 185) ≥ 0

now solving the above equation

17.50x - 3.5 x ≥ 185

14x ≥ 185

x ≥ 13.21

x ≥ 14 (approx )

To earn profit 14 people must attend the dinner.

Hence proved

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: