Question

Writing and evaluating a function that models a real-world situation: Advanced

Answer 1

The situation can be represented as a linear function since the function has a constant rate of increase.

$y=mx+b$

In this case, y represents the amount of money there is in the account S, x represents the time in weeks that Tom has been adding money, in this case, W.

$S=mW+b$

b is going to represent the initial amount when the account started, and m the amount of money he puts in the account each week

$S=70W+350$

Then, using the equation replace W for 14.

$\begin{gathered} S=70\cdot14+350 \\ S=980+350 \\ S=1330 \end{gathered}$

The total amount after 14 weeks in the savings account is $1,330.