Item 17 a bakery sells 5800 muffins in 2010. the bakery sells 7420 muffins in 2015. write a linear model that represents the number y of muffins that the bakery sells x years after 2010

y = 5800 +(x-1)324

Step-by-step explanation:

A bakery sells 5800 muffins in 2010. The bakery sells 7420 muffins in 2015. The increase in the number of bread each year depicts an arithmetic progression

The first term in the sequence is 5800. Therefore

a = 5800

The formula for the nth term of an arithmetic sequence is given as

Tn = a + (n-1)d

Where a = the first term

d = the common difference

n = number of terms

Tn = the value of the nth term

The year 2015 is the 6th term of the sequence. Therefore

T6 = 7420 = 5800 + (6-1)d

7420 = 5800 + 5d

5d = 7420 - 5800

5d = 1620

d = 1620/5 = 324

The linear model that represents the number y of muffins that the bakery sells x years after 2010

y = 5800 +(x-1)324

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step-by-step explanation:

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