Andy and Sam are saving money to go on their senior trip.
The amount of money that Andy will have at the end of each week, w, can be expressed at A(w) = 20w + 300. The amount of money that Sam will have at the end of each week, w, can be expressed at S(w) = 15w + 400.
They have decided to combine their savings accounts. Write a function that expresses the total amount, T(w) they have in their savings account at the end of each week.
T(w)= 35w+700
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To find the total amount of money Andy and Sam have in their savings account at the end of each week, you need to add up the amounts Andy and Sam have saved individually.
The amount of money that Andy will have at the end of each week is given by the function A(w) = 20w + 300.
The amount of money that Sam will have at the end of each week is given by the function S(w) = 15w + 400.
To find the total amount T(w) they have in their savings account at the end of each week, you simply add the amounts saved by Andy and Sam together.
T(w) = A(w) + S(w)
Substituting the given functions for A(w) and S(w):
T(w) = (20w + 300) + (15w + 400)
Simplifying:
T(w) = 35w + 700
So, the function T(w) = 35w + 700 expresses the total amount Andy and Sam have in their savings account at the end of each week.