A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on catering. Write and solve an inequality in terms of the number of guests, g, that can be invited.
A) 300 - 40g ≥ 5000; g ≥ 117
B) 300 - 40g ≤ 5000; g ≤ 118
C) 300 + 40g ≤ 5000; g ≤ 117
D) 300 + 40g ≤ 5000; g ≤ 118

Question

A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on catering. Write and solve an inequality in terms of the number of guests, g, that can be invited.
A)	300 - 40g ≥ 5000; g ≥ 117	
B)	300 - 40g ≤ 5000; g ≤ 118	
C)	300 + 40g ≤ 5000; g ≤ 117	
D)	300 + 40g ≤ 5000; g ≤ 118

photon336 · Answer

@heart_offire what do you think it is?

heart_offire · Answer

mmmm between c and d

photon336 · Answer

This is a linear equation and we need to add our initial price of 300 dollars to 40 dollars* the number of guests g 

so yes I agree with you there 

$$y = m(x)+b $$

$$300$+40(g) = y(g)$$

photon336 · Answer

you can actually just solve this inequality the same way you would solve any other equation. 

$$300+40g \le 5,000$$

heart_offire · Answer

ok so i subtract 40 from both sides

photon336 · Answer

you subtract 300 from both sides remember 40  has a variable in it so you want to get that by itself.

photon336 · Answer

Let's pretend that the inequality isn't there: can you solve the rest of this. 

$$40g = 5,000-300$$

heart_offire · Answer

40g =4700

photon336 · Answer

so what's g?

heart_offire · Answer

117.5 = g

heart_offire · Answer

@mathmale