Question

Mr.Cooper is taking his dog trigg to a new daycare. After taking his dog to this daycare for 3 days, it costs him a total of 99 dollars. After taking his dog to daycare for 6 days, it costs him 183 dollars. Write an equation that represents the relationship between the total cost Mr.Cooper will pay for daycare and the math problemamount of days his dog is in day care

Answer 1

Answer: y = 28x + 15

Explanation:

This relationship is linear and so will be of the form;

y = Mx + c

y is the total cost paid

x is the number of days

Assume the points on the line are;

(3, 99) and (6, 183)

Finding M;

= (Y₂ - Y₁) / (X₂ - X₁)

= (183 - 99) / (6 - 3)

= 28

Find c using one of the points and m;

y =Mx + c

99 = 28 * 3 + c

c = 99 - 84

c = 15

Relationship is;

y = 28x + 15