Tina is saving to buy a notebook computer. She has two options. The first option is to put S200 away initially and save $10 ever
y month. The second option is to put s100 away initially and save s30 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?
The equation for the first option is Y=10x + 200 The equation for the second option is Y=30x + 100
X = one month To find when they would be the same about you have to set the equations equal to each other
10x + 200 = 30x + 100 -10x -100 -10x -100
100= 20x
5 = x
After five months she would save the same amount. To find how much is saved you have to plug in 5 for x in one of the equations. You can always double-check 5 by plugging it in both equations and making sure you get the same answer
Y= 10(5) + 200 = 250
Y= 30(5) + 100 = 250
She would have saved $250 after five months by using either method
If you're struggling with graphing problems, I'd highly recommend that you check out Desmos and Mathaway. All you have to do is type the equations and it graphs it for you. Here's the first question: