Answer:
a. [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
The formula for rate of change is:
[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Your points are (1000, 310) and (3500, 460)
So
[tex]x_{1}[/tex] = 1000
[tex]y_{1}[/tex] = 310
[tex]x_{2}[/tex] = 3500
[tex]y_{2}[/tex] = 460
Plug into the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50
150/50 = 3 2500/50 = 50
so:
[tex]\frac{3}{50}[/tex]
