Angela bought her dog Gizmo a bag of dog food. She feeds Gizmo the same amount of food every day. After 4 days, there was 11 pounds of food left in the bag. After 10 days there was 6.5 pounds left in the bag . Write a linear equation (y=mx+b ) represent how much food was left in the bag as a function of the number of days .

, 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

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

step-by-step explanation: