julio has $150. each week he saves an additonal $10. write a function f(x) that models the total amount of money julio has after x weeks.

Answer 1

f(x) = 10x + 150 in slope intercept form

graphically, it's an upward sloping, fairly steep line with slope =10 and y intercept = 150

or

f(x) = $10x + $150

f(0) = $150 initially

f(1) = $160 after one week

f(2) = $170 after two weeks

f(3) = $180 after three weeks

...

f(x) = $150+$10x after x weeks

Answer 2

At the end of each week, the savings is $10 larger. So the "slope" if you were to graph the function is $10/wk. The amount above the starting value of $150 is calculated by $10 times the no. of weeks (x). The std. form for a st. line is y or f(x) = mx + b, where m is the slope and b is the initial or starting value. By substitution, the equation of the function is y or f(x) = 10x + 150.

Answer 3

f(x) = 150 + 10x