The owner of a new restaurant wants to have seating for more than 68 people. there is currently a private chef's table that seats 2 people. the owner plans to buy m tables that each seat 4 people.
which inequality can be used to show the situation?
a.) 4m+2> 68
b.) 2(m+4)> 68
c.) 4(m+2)> 68
d.) 2m+4> 68

A

Step-by-step explanation:

Let m be the number of tables needed. The owner plans to buy m tables that each seat 4 people. All these tables seat people. There is currently a private chef's table that seats 2 people. In total, m tables and chef's table can seat people.

The owner of a new restaurant wants to have seating for more than 68 people. Thus,

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation: hi!