Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 every month. The second option is to put $100 away initially and save $30 every month. After how many months would Tina save the same amount using either options? How much would she save with either option?

In five months,she will save the same money which is $250.

Step-by-step explanation:

Using the first statement we can generate the function y=10x + 200  and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.

y = 10x + 200

y = 30x + 100  

Substitute the value of x in the first equation into the second equation.

30x + 100= 10x + 200   now solve for x

         -100            -100

30x = 10x + 100

-10x    -10x

20x = 100

x= 5  

This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for  y.

y = 10(5) + 200

y = 50 + 200

y = 250  

She will save $250 with either option.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.