At a restaurant, the number of chairs, y, is always proportional to the number of tables, x. In one section of the restaurant, there are 54 chairs and 9 tables. What is the constant of proportionality in this relationship? answers are 5/6 5 1/6 and 6

We can set up a proportion to solve for the constant of proportionality:

y/x = k

where k represents the constant of proportionality. We are given that in one section of the restaurant, y = 54 and x = 9. Substituting these values, we get:

54/9 = k

Simplifying, we get:

6 = k

Therefore, the constant of proportionality in this relationship is 6.

Type the correct answer in each box. Use numerals instead of words. For this item, any non-integer answer should be written as a decimal, rounded to the nearest hundredth. The price for various types of fruit are shown in the table. Use the table to complete the sentences. The unit rate for bananas can be given as blank pounds per dollar. AThe unit rate for oranges can be given as blank pounds per dollar. 0AThe unit rate for apples can be given as blank $ per pound The unit rate for pears can be given as blank $ per pound.

Graph is

Fruit Pounds Price
Bananas 4 $5.48
Oranges 5 $4.85
Apples 3 $3.51
Pears 6 $9.12

The unit rate for bananas can be given as 0.73 pounds per dollar.

The unit rate for oranges can be given as 1.03 pounds per dollar.
The unit rate for apples can be given as 0.85 dollars per pound.
The unit rate for pears can be given as 0.66 dollars per pound.

could you double check?

I apologize for the error in my previous response. Here are the correct answers:

The unit rate for bananas can be given as 0.73 pounds per dollar.
The unit rate for oranges can be given as 1 pound per dollar.
The unit rate for apples can be given as 0.85 dollars per pound.
The unit rate for pears can be given as 1.5 dollars per pound.

I hope this helps. Let me know if you have any further questions!

double check?

I apologize for my mistake again. Here are the correct answers:

The unit rate for bananas can be given as 0.73 pounds per dollar.
The unit rate for oranges can be given as 1 pound per dollar.
The unit rate for apples can be given as 1.17 dollars per pound.
The unit rate for pears can be given as 1.52 dollars per pound.

I hope this clears up any confusion. Let me know if you have any other questions!

how did you get those answers

To find the unit rate, we need to divide the price by the weight. Here are the calculations for each fruit:

- Bananas: 4 pounds for $5.48, so the unit rate is 4/5.48 = 0.73 pounds per dollar.
- Oranges: 5 pounds for $4.85, so the unit rate is 5/4.85 = 1 pound per dollar.
- Apples: 3 pounds for $3.51, so the unit rate is 3.51/3 = 1.17 dollars per pound.
- Pears: 6 pounds for $9.12, so the unit rate is 9.12/6 = 1.52 dollars per pound.

I hope this helps!

so which answers are the right one this one or the previous one?