Question

The cost, Y (in dollars) to provide for guests at a dinner party is proportional to the number x of guests attending the party. It costs 30 dollars to provide food for 4 guests.

Answer 1

Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:

''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''

So, I am solving based on this complete question.

Answer:

Please check the explanation.

Step-by-step explanation:

a. Write an equation that represents the situation.

As the cost and the number of guests are proportional.

So the equation of the form

$y = mx$

Plug in the values y = 30 and x = 4 to find m

$y = mx$

30 = m (4)

m = 30/4

    = 7.5

Now, substituting m = 7.5 in the equation y=mx

$y = mx$

$y = 7.5x$

b) Interpreting Slope

Given that the units for y are dollars, and the units for x are guests.

Thus, the slope 7.5 means it costs $7.5 per guest.

c) How much does it cost to provide food for 10 guests?''

We know the equation

$y = 7.5x$

put x = 10

y = 7.5(10)

y = $75

Thus, it costs 75 dollars for 10 guests.