To serve 1 person at a local restaurant, it takes 10 minutes. to serve 5 people, it takes 18 minutes. write and solve an equation to find the number of minutes it will take to serve a party of 8? show all of your work!

The number of minutes it take to serve 8 person in party is 24 min

Step-by-step explanation:

Given as :

To serve 1 person at a local restaurant it take 10 minutes

To serve 5 person at a local restaurant it take 18 minutes

So, From given information . it is clear that ,

For ( 1 + n ) person to serve , the time required is ( 10 + 2 n) minutes

Take  n = 1 ,  For ( 1 + 1 ) person to serve , the time required is ( 10 + 2×1) min

I.e                      for 2 person to serve , time required is 12 min

Take n = 2 ,  For ( 1 + 2 ) person to serve , the time required is ( 10 + 2×2)min

I.e                      for 2 person to serve , time required is 14 min

Similarly for n = 7

For ( 1 + 7 ) person to serve , the time required is ( 10 + 2×7) min

I.e For 8    person to serve , the time required is 24 min

Hence The number of minutes it take to serve 8 person in party is 24 min  Answer

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

i would be happy to . most people on would also love to i'm sure. if you just want someone who has done algebra before and want a little more personal relationship than just begging strangers for , i can certainly be of service. i do have college myself so i might not be 24/7.