A student is saving money in a bank account to buy a computer. The function
f
(
w
)
=
35
w
+
10
represents the total amount of money,
f
,
in dollars, in the student’s account
w
weeks after the student started saving for the computer.
The equation represents a linear function, where the slope is 35 and the y-intercept is 10.
The slope of 35 indicates that the student is saving $35 per week. This means that for every week that passes, the amount of money in the account increases by $35.
The y-intercept of 10 indicates that the student had $10 in the account when they started saving for the computer. This represents the initial amount of money in the account before any weeks have passed.
So, for example, after 1 week of saving, the total amount of money in the account would be $35 + $10 = $45. After 2 weeks, it would be $70 + $10 = $80, and so on.