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jeka57 [31]
2 years ago
6

The table shows the cost of renting ski equipment at a ski lodge. Write a linear function f for the sequence. Then graph the fun

ction. 25 20 15 5 00 4 8 12 16 Number of days rented y x Number of Days Rented Rental Cost ($) function: 1 2 12 17 3 4 22 27
Mathematics
1 answer:
Bingel [31]2 years ago
6 0

Answer:

<u>y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

Step-by-step explanation:

Slope (m) = 5

Y-intercept (b) = 7

Using the equation y=mx+b, you can find m and b to make y=5x+7.

Steps:

(1, 12) (2, 17)                          formula: y2-y1 / x2-x1 = m

17-12= 5

 2-1 = 1

5/1=5

m=5

12=5(1)+b

12=5+b

7=b

17=5(2)+b

17=10+b

7=b

<u>Answer: y=5x+7</u>

<u>or</u>

<u>f(x)=5x+7</u>

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A pile of newspaper was 17 3/4 inches high. Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inc
Murljashka [212]

Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches

Step-by-step explanation:

Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 17 3/4= 71/4 inches

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the height in inches, of the pile after 3 weeks, T3. Therefore,

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T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6

T3 = 419/12 inches = 34 11/12 inches

7 0
3 years ago
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CaHeK987 [17]

Answer:

4/3

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find common denomerator which is 12

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