Noah and Amelia are reading the same book. At the beginning of the month, Noah was on page 41 and Amelia was on page 13. Noah will read 12 pages per day and Amelia will read 16 pages per day. Let NN represent the page of the book that Noah is on at the end of tt days into the month, and let AA represent the page of the book that Amelia is on at the end of tt days into the month. Write an equation for each situation, in terms of t, t, and determine whether Noah or Amelia is farther along in the book after 3 days.

After 3 days, Noah is still farther along reading.

Step-by-step explanation:

Here are the two equations:

NN = 12tt + 41

AA = 16tt + 13

Now we plug in 3 to both equations to see what page they're on after 3 days:

After 3 days, Noah is 77 pages along and Amelia is 61 pages along.

77 pages > 61 pages so therefore Noah is still farther along.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answer: i think one of the answer is $150 and $300?

step-by-step explanation: