Problema Solution
Lucy and Barbara began saving money the same week. The table below shows that models for the amount of money Lucy and Barbara have saved after x weeks. After how many weeks will they have the same amount of money saved?
Lucy's Savings: f(x)=10x+5 Barbara's Savings: g(x)=7.5x+55
Answer provided by our tutors
let 'a' be the number of weeks after they have the same amount of money then
f(a) = g(a)
10a + 5 = 7.5a + 55
by solving the equation we find
a = 20 weeks
click here to see the step by step solution of the equation
After 20 weeks Lucy's and Barbara's savings will be the same.
also, if we draw the graph for the functions f(x)=10x+5 and g(x)=7.5x+55 the intersection on the graphs gives the solution
click here to see the graph of the functions