Answer:
Step-by-step explanation:
(21²+10²)½ = 23.25= 23.3
<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>
Given that,
A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream
Therefore,
Upstream distance = 165 km
Upstream time = 3 hours
<h3><u>Find upstream speed:</u></h3>

Thus upstream speed is 55 km per hour
Downstream distance = 510 km
Downstream time = 6 hours
<h3><u>Find downstream speed:</u></h3>

Thus downstream speed is 85 km per hour
<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>
Speed downstream = u + v km/hr
Speed upstream = u - v km/hr
Therefore,
u + v = 85 ----- eqn 1
u - v = 55 ----- eqn 2
Solve both
Add them
u + v + u - v = 85 + 55
2u = 140
u = 70
<em><u>Substitute u = 70 in eqn 1</u></em>
70 + v = 85
v = 85 - 70
v = 15
Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
- m is a slope
- c is a constant and represents the y-intercept
- x is a variable
- y is the input of the function
Let's rewrite our equation in the precedent form
- 100y-39000 = 55(x-800)
- 100y -39000 = 55x-44000 add 39000 in both sides
- 100y-39000+39000 = 55x-44000+39000
- 100y = 55x-5000 divide both sides by 100
- y = 0.55x-50
The slope intercept form of this equation is:
y= 0.55x-50
The rate of change of the given equation is: 0.86
Step-by-step explanation:
Rate of change or slope is the steepness of a linear function or line.
When an equation is given in the form of slope-intercept form, the co-efficient of x is the slope or rate of change of the equation.
Given equation is:

We can see that the co-efficient of x is 0.86
Hence,
The rate of change of the given equation is: 0.86
Keywords: Slope, rate of change
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