Answer:
D(t) = 2,280 - 60t
for D(15) compare the eqns and substitute the value of t.
D(15) = 2,280 - 60(15)
D(15) = 1,380 miles.
In the context of the qn, the Chang family travels 1,380 miles in 15 hours.
Answer:
$39056
Step-by-step explanation:
As we know, the final Amount can be calculated with the formula for compound interest,
where,
A = Final Amount
P = Initial principal amount
r = rate of interest in decimal
n = number of times applied per time period
t = total time period
Now, according to the given data,
P = $23000
r = .038
n = 4
t = 14
so,
A = 39055.476
Answer:
A. Here the y-intercept is (0,4) and means at time 0 hours the fish is displaced 4 feet.
B. For every hour, the fish is displaced 60 more feet.
C. The domain is [0, 12].
Step-by-step explanation:
Part A:
The y-intercept is where the function intersects the y-axis. It is the point (0,b) and is always the starting value in real world situations since time begins at x=0. Here the y-intercept is (0,4) and means at time 0 hours the fish is displaced 4 feet.
Part B:
The average rate of change is the slope of the function found using the formula . Use the points (0,4) and (1,64).
For every hour, the fish is displaced 60 more feet.
Part C:
The domain is the set or group of x values in the function. Time starts at 0 and goes until the fish traveled 724 feet. What time is this at?
The function has the equation y = 60 +4. Find the time by substituting y=724.
724=60x+4
720 = 60x
12=x.
The domain is [0, 12].
Answer:
answers B and E are true.
Step-by-step explanation:
(5,0) means x=5, y=0
the point of origin is (0,0) with x=0, y=0
therefore, A is wrong. yes, the point is 5 units to the right of the origin, but 0 (no) units up. and not 1.
B is therefore true.
C is therefore wrong.
D is wrong, because the point is to the right of y-axis (the vertical axis) and not on it.
E is true, because we go only to the right of the origin, but neither up or down. so, we stay on the x- axis (horizontal axis).