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Jlenok [28]
3 years ago
13

given that an arithmetic sequence can be expressed as a linear function in the form f(x)=mx+b, write a linear function to descri

be the sequence {10,15,20,25,30,35...}
Mathematics
2 answers:
mylen [45]3 years ago
8 0
For this case we have:
 m = (y2-y1) / (x2-x1)
 m = (15-10) / (2-1)
 m = 5/1
 m = 5
 Then,
 y-yo = m (x-xo)
 where,
 (xo, yo) = (1, 10)
 Substituting:
 y-10 = 5 (x-1)
 y = 5x -5 + 10
 y = 5x + 5
 Answer:
 
a linear function to describe the sequence is:
 
y = 5x + 5
GenaCL600 [577]3 years ago
8 0

Answer:

a linear function to describe the sequence is:

y = 5x + 5

Step-by-step explanation: ik ur on usa te$t prep

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Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

  • What is the independent variable?

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

  • What is the dependent variable?

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

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t = $6 + ($1.50 x m)

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3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

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