Answer:
Part 1) The rate of change is [tex]60\ \frac{km}{h}[/tex]
Part 2) The initial value is 100 km
Part 3) His distance increases 60 kilometers every hour
Step-by-step explanation:
Part 1) Find the rate of change
The rate of change is the same that the slope
Let
x ----> the time in hours
y ---> the distance in kilometers
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
(0,100) and (10,700)
substitute in the formula
[tex]m=\frac{700-100}{10-0}[/tex]
[tex]m=\frac{600}{10}[/tex]
[tex]m=60\ \frac{km}{h}[/tex]
Part 2) Find the initial value
we know that
The initial value or y-intercept is the value of y when the value of x is equal to zero
Looking at the graph
For x=0
The value of the y-coordinate is 100
therefore
The initial value is 100 km
Part 3)
we know that
The slope or unit rate is [tex]m=60\ \frac{km}{h}[/tex]
That means
His distance increases 60 kilometers every hour
