Answer:
Step-by-step explanation:
Let
x -----> the number of hours
y ----> the total cost to rent a bike in dollars
we know that
The equation of the line in slope intercept form is equal to
where
m is the slope or the unit rate of the linear equation
b is the y-intercept or the initial value
In this problem we have
The unit rate or slope is equal to
The y-intercept (value of y when the value of x is equal to zero) is equal to
----> (fee charge)
substitute the values
Mark can buy 10 star fruit because 2 times 10 equals 20.So,Shanice bought one star fruit for $2. How many star fruit can Mark buy if he has $20?He can buy 10 with $20.
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
