1) A) f(x) has a slope of +5 (change with each x step), g(x) of +2 (m of y=mx+b), so f(x) rises 2.5 times faster than g(x) B) y intercepts are at x=0 f(x) has its intercept at -10 for g(x) it is the b value of y=mx+b, so 8 so the g(x) intercept is greater/above the one of f(x)
2) A) y intercept is at x=0 -> 12
When we started measuring the bird was already 12 miles away from its nest. B) average rate=(f(3)-f(1))/(3-1) =16/2=8 [mph] The bird moved on average with a speed of 8mph away from the nest. C) f(x)=8x+12
insert the 172 miles distance: 172=8x+12 160=8x 20=x
so after 20 hours it would be at a distance of 172 miles this means we know the value from x=0 to 20 so its domain is/it is defined for x values of [0,20]
b=f(0)=f(2)-2*m=225-2*85=55 y=85x+55 B) f(x)=85x+55
C) Your x label is the amount of days rented, the y label the total cost/rent to pay, because y has larger values decide on some scale and the range of x values you want to draw, which should be x>=0.
Draw the points which were given, (2,225) and (5,480) and draw a line through them from one end of the diagram to the other.
