Question

You want to use the hot tub at the hotel you're staying at, but it's not hot enough. The hotel manager tells you they they will turn the heat up and the temperature will increase by 10% each hour.The initial temperature of the hot tub is 68°

If the temperature increases by 10% eaxh hour, what is the common ratio?

Answer 1

convert 10% to decimal form. That is your common ratio.

Answer 2

So its 0.1?? @welshfella

Answer 3

yes

Answer 4

So if i solve it with explicit formula what is my a1?

Answer 5

@welshfella

Answer 6

- I apologies 0.10 is incorrect it should be 1.1

so the first few terms of the sequence of temperatures is

68 , 68*1.1 , 68 * 1.1^2

= 68 , 74.8, 82.3

Answer 7

if a1 means the first term its 68

second term is 74.8 degrees

Answer 8

Why is it 1.1?? @welshfella

Answer 9

well 0.10 is the fractional INCREASE
the next temperatuer in sequence is 68 + 89* 0.1 = 68*1.1

this is a geometric sequence with common ratio 1.1

Answer 10

* typo 68+68*0.1

Answer 11

Thanks can you help also with my another question its in math sectiom

Answer 12

i'll take a look