The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 189. the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15. thirty more restaurant-purchased meals will be eaten in a restaurant than at home. find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.

87 people in the restaurant, 45 people eat in the car and 57 people eat at home.

Step-by-step explanation:

Let x be 'restaurant-purchased meals eaten in a restaurant', y be the 'restaurant-purchased meals eaten in a car' and z be the 'restaurant-purchased meals eaten at home'.

We can use the given information "the total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 189" to write an equation .

We can use the information "the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15" to write another equation .

We can use the information "thirty more restaurant-purchased meals will be eaten in a restaurant than at home" to write the third equation as x=z+30

Now we need to solve this system of three equations to get the values of x, y and z.

We can solve for x directly from the first two equations.

Substituting this value of x in the third equation we can get the value of z.

Finally, we can substitute the values of x and z in the first (or second) equation to get the value of y.

Therefore, 87 people in the restaurant, 45 people eat in the car and 57 people eat at home.

don't know what that says sorry i can't you

step-by-step explanation:

idk what it says

since no one answered yet i will give it a shot, not completely sure tho.

i think it should be y=cos(x+2pi), (third answer, answer c)

good luck.