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garik1379 [7]
3 years ago
8

Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. L

et A(t) denote the area to paint A (measured in square meters) as a function of time t (measured in hours). What is the Functions formula? A(t)=?
Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

A(t)=-8t+52

Step-by-step explanation:

Let

A(t)------> the area to paint

t------> the time in hours

Step 1

Find the total area of the room

A=8*3+28=52\ m^{2}

Step 2

Find the linear equation that represent the situation

A(t)=-8t+52




malfutka [58]3 years ago
3 0

8*3 = 24 + 28 = 52 total square feet

he is painting at 8 sq m per hour

so A(t) = -8t +52

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Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

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Given sequence is:

12,22,32,42​

a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

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Putting the values of a1 and d

a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n

The explicit rule for given sequence is:

a_n=2+10n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/1522572
  • brainly.com/question/2491745

#LearnwithBrainly

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