recall your d = rt, distance = rate * time.
let's say we have two trains, A and B, A is going at 85 mph and B at 65 mph.
they are 210 miles apart and moving toward each other, at some point they will meet, when that happens, the faster train A has covered say d miles, and the slower B has covered then the slack from 210 and d, namely 210 - d.
When both trains meet, A has covered more miles than B because A is faster, however the time both have been moving, is the same, say t hours.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.