The amount of money Carla has saved after w weeks is: m(w) = 25w + 80
This means that Carla saves $25 each week, starting with $80.
Let's use the given information to find the slope (m) and y-intercept (b) of the linear function:
Slope (m): This represents the change in the amount of money saved per week. We can calculate it as:
m = (Change in money saved) / (Change in weeks)
= (280 - 130) / (8 - 2)
= 150 / 6
= $25 per week
Y-intercept (b): This represents the amount of money Carla already has in her savings account at the beginning (week 0). We can plug the known values for week 2 into the equation:
y = mx + b
130 = 25(2) + b
130 = 50 + b
b = 130 - 50
b = $80
Therefore, the linear function that represents the amount of money Carla has saved after w weeks is:
m(w) = 25w + 80
This means that for every week that passes, Carla saves an additional $25, starting with an initial amount of $80.
Question:-
Carla is saving money for a trip this summer. She already has some money in her savings account and will add the same amount to her account each week. At the end of 2? weeks, Carla has? $130. At the end of 8? weeks, she has? $280. Write a linear function in the form y=mx+b to represent the amount of money m that Carla has saved after w weeks.