A bakery sells 6350 muffins in 2010. The bakery sells 8310 muffins in 2015. Write a linear model that represents the number $y$ of muffins that the bakery sells $x$ years after 2010. The linear model is $y=$ .

y = 392x + 6350

Step-by-step explanation:

Here, we calculate the average rate of change in the number of muffins sold between the two years

Mathematically that will be the difference in number of muffins divided by the number of years

We have this as;

(8310-6350)/(2015-2010)

= 392

an average of 392 muffins were sold in a year

The general form of the equation of a straight line is;

y = mx + c

we have m as 392

so;

y = 392x + c

To get c, we make a substitution

2015 is 5 years after 2010, so x will be 5 and y will still be 8310

so;

8310 = 392(5) + c

c = 8310 - 2960

c = 6350

So the equation is;

y = 392x + 6350

$35.59 in pounds

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for