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

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step-by-step explanation: