Answer:
Option C) 27 people
Step-by-step explanation:
Let
x ----> the number of people
we know that
The cost of decorations ($35) plus the number of people (x) multiplied by the cost per person on food ($8.50) must be equal to $264.50
so
The linear equation that represent this situation is

solve for x
Subtract 35 both sides


Divide by 8.50 both sides


Answer:
Option B, x = 20
Step-by-step explanation:
<u>Step 1: Make an equation</u>
The values of 65 degrees and (3x + 5) are equal.
65 = 3x + 5
<u>Step 2: Subtract 5 from both sides</u>
65 - 5 = 3x + 5 - 5
60 = 3x
<u>Step 3: Divide both sides by 3</u>
60 / 3 = 3x / 3
<em>20 = x</em>
<em />
Answer: Option B, x = 20
To write a slope intercept equation you need the slope and the y intercept which is b. The slope of y=x is 1 and to find a perpendicular slope you flip it and make it the opposite sign so in this case is would still be 1\1 but now it will be negative so your slope is -1 and you plug in 2 for x and 2 for y into the equation y=mx+b and m=your slope (which is -1) to find the value of b. so you get y=-1(2)+b. When you solve you get b=4 and then rewrite the intercept slope equation which is y=mx+b and plug in your slope for m and 4 for b so your final answer is y=-1x+4
790 i think sorry if it's wrong :/