Answer:y=1/6x+2
Step-by-step explanation:
Y=1/6x+b
Plug in (-6,1)
1=1/6(-6)+b
1=-1+b
Add 1 to both sides
1+1=b
2=b
Y=1/6x+2
Find out how many children there are first. Come on, this is simple fractions/percents/decimals/ratios.
Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.
The number of days that the food can last 30 guests is 4 days.
<h3>How long will Seaview Hotel's food feed 30 guests?</h3>
More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.
To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests
= (20 x 6) / 30
= 4 days
Full question is:
The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.
Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.
Find out more on inverse proportion at brainly.com/question/1266676.
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<h2><u>Part A:</u></h2>
Let's denote no of seats in first row with r1 , second row with r2.....and so on.
r1=5
Since next row will have 10 additional row each time when we move to next row,
So,
r2=5+10=15
r3=15+10=25
<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>
r1=5=5+0=5+0×10=5+(1-1)×10
r2=15=5+10=5+(2-1)×10
r3=25=5+20=5+(3-1)×10
<u>So for nth row,</u>
rn=5+(n-1)×10
Since 5=r1 and 10=common difference (d)
rn=r1+(n-1)d
Since 'a' is a convention term for 1st term,
<h3>
<u>⇒</u><u>rn=a+(n-1)d</u></h3>
which is an explicit formula to find no of seats in any given row.
<h2><u>Part B:</u></h2>
Using above explicit formula, we can calculate no of seats in 7th row,
r7=5+(7-1)×10
r7=5+(7-1)×10 =5+6×10
r7=5+(7-1)×10 =5+6×10 =65
which is the no of seats in 7th row.
