Answer:
The correct option is C) 36
Step-by-step explanation:
Consider the provided table:
x - y
1 - 1
2 - 4
3 - 9
4 - 16
Observe the pattern:
If we square the x value we can find the corresponding y value.
For example
2² = 4
Where 2 is x value and 4 is corresponding y value, similarly
3² = 9
4² = 16
Now we need to find the y value when x=6.
To find this simply square the x value that will gives us the corresponding y value.
6² = 36
Hence, the correct option is C) 36
Answer:
This does represent an exponential function , because his savings increase by a constant rate
Step-by-step explanation:
Let
x -----> the number of weeks
y ----> the amount saved
In this problem we have a exponential function of the form
where
a is the initial value
b is the base
r is the rate of change
where
---- because he doubles the amount each week
----> 
substitute
therefore
This does represent an exponential function , because his savings increase by a constant rate
Answer:
Reverse the x and y:
x = 3y + 4.
Now subtract 4 from both sides:
x - 4 = 3y
Divide both sides by 3:
1/3 x - 4/3 = y
Answer:
34 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between adjacent and opposite sides of a right triangle and the trig function of the associated angle. Here, the relevant relation is ...
Tan = Opposite/Adjacent
tan(10°) = (height of lifeguard)/(distance from shore)
Then the distance from shore is ...
distance from shore = (height of lifeguard)/tan(10°) ≈ (6 ft)/(0.17633)
distance from shore ≈ 34 ft
