JOHN AND SARAH ARE EACH SAVING MONEY FOR A CAR. THE TOTAL AMOUNT OF MONEY JOHN WILL SAVE IS GIVEN BY THE FUNCTION F(X) = 60 + 5X. THE TOTAL AMOUNT OF MONEY SARAH WILL SAVE IS GIVEN BY THE FUNCTION G(X) =X SQUARED + 46. AFTER HOW MANY WEEKS , X, WILL THEY HAVE THE SAME AMOUNT OF MONEY SAVED ?
+129840 We want to know when
60 + 5x = x^2 + 46 subtract 60, 5x from both sides
0 = x^2 -5x -14 factor
0= ( x - 7) ( x + 2) setting both factors to 0
x - 7 = 0 or x + 2 = 0
add 7 to both sides subtract 2 from both sides
x = 7 weeks or x = - 2 weeks
Only the first answer makes sense.........in 7 weeks they will have the same amount of money
