Answer:
a) y1 = 0.5*t, y2 = 0.5*(t - 10)
b) 10 and 5
c) the graph of y2 is graph of y1 shifted 10 units to the right
Step-by-step explanation:
a) Taking t = 0 the time your friend arrived, then the sandwiches (y1) made by your friend were:
t y1
0 0
2 1
4 2
and so on. The equation that relates this two variables is: y1 = 0.5*t
The sandwiches (y2) made by you were:
t y1
0 0
2 0
4 0
6 0
8 0
10 0
12 1
14 2
and so on. The equation that relates this two variables is: y2 = 0.5*(t - 10), where only the positive y2 values must be considered.
b) Replacing with t = 20 in each equation, we get:
y1 = 0.5*20 = 10
y2 = 0.5*(20 - 10) = 5
c) If f(x) is the parent function, a shift n units to the right is f(x - n). Replacing t with (t - 10) in y1 we get y2, then, the graph of y2 is graph of y1 shifted 10 units to the right.
