WRITING & USING FUNCTIONS FROM VERBAL DATA
Question is below
Tina is saving $0.30 per week. 5 weeks ago she had $1.95. Write a function for Tina's savings week by week.
How do you go about doing this problem?
Thank You in advance
If you do the function from week from the present time... then it would be
f(x) = 3.45 + .3x
Where did you get the 3.45 Jessie? I am still slightly confused.
Thanks John
To write a function for Tina's savings week by week, we can use the given information and setup an equation that represents the relationship between the number of weeks (x) and the amount of money saved (y).
From the information provided, we know that Tina is saving $0.30 per week. This means that for every week that passes, Tina's savings will increase by $0.30.
Additionally, we are told that 5 weeks ago Tina had $1.95 in savings. This provides us with an initial value for her savings.
To write the function, we first need to determine the initial amount of savings (intercept) and the rate at which her savings is increasing each week (slope).
Given that Tina had $1.95 in savings 5 weeks ago, we can calculate the initial savings as follows:
Initial savings (y-intercept) = $1.95
Since Tina is saving $0.30 per week, we can calculate the slope (rate of increase) as follows:
Rate of increase (slope) = $0.30
Combining the initial savings with the rate of increase, we can write the function as follows:
y = 0.30x + 1.95
In this equation, "x" represents the number of weeks that have passed since 5 weeks ago, and "y" represents the corresponding amount of money saved.
Using this function, you can plug in different values for "x" to find Tina's savings for any given week. For example, if you want to know how much Tina has saved after 10 weeks, substitute x = 10 into the equation:
y = 0.30 * 10 + 1.95
y = 3 + 1.95
y = 4.95
Therefore, Tina would have saved $4.95 after 10 weeks.