How did you get b?
18 + 6 = 24, not 22.
Hours (h) 1 2 3 4 5
Earnings (E) ( ) ( ) ( ) $22.00 $27.50
a. $5.75, $11.50, $17.25; E = 5.75h
b. $6.00, $12.00, $18.00; E = 6.00h
c. $5.25, $10.50, $15.75; E = 5.25h
d. $5.50, $11.00, $16.50; E = 5.50h
my awnser is b.
18 + 6 = 24, not 22.
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1. D
2. C
3. D
4. B
5. B
6.A
a. The cost of going to the gym is a function of the number of months of membership. Find a rule for the function.
b. Find the cost of using the gym for 9 months.
c. Graph the function.
b. C(9) = $28(9) + $127 = $355
c. Here's the graph of the function:
![FitFast Gym Cost Graph](https://i.imgur.com/PQzH5rz.png)
Hours (h) 1 2 3 4 5
Earnings (E) fill in the blank square fill in the blank square fill in the blank square $22.00 $27.50
Hours (h) 1 2 3 4 5
Earnings (E) $5.50 $11.00 $16.50 $22.00 $27.50
The function rule for the earnings is:
E(h) = 5.50h
a. Write a rule to represent the rental charges C.
b. How much will you pay if you return the DVD after 4 days? 7 days?
C(d) =
- (d * 4.70) + 1, if d ≤ 5
- (d * 4.70), if d > 5
This function first checks if the DVD is being rented for five days or less, in which case a dollar is refunded if it is returned on time. If it is being rented for more than five days, there is no early return refund.
b. If you return the DVD after 4 days, you will be charged:
C(4) = - (4 * 4.70) + 1 = - $18.80 + $1 = $16.80
If you return the DVD after 7 days, you will be charged:
C(7) = - (7 * 4.70) = - $32.90 = $32.90
Input (x) 0 1 2 3 4
Output (y) 3 6 9 12 15
y = 3x
We can verify this by plugging in the x-values from the table and checking if we get the matching y-values:
- x = 0, y = 3 * 0 = 0
- x = 1, y = 3 * 1 = 3
- x = 2, y = 3 * 2 = 6
- x = 3, y = 3 * 3 = 9
- x = 4, y = 3 * 4 = 12
All the y-values match, so this is indeed the correct function rule.
d(t) = 66t
Here, d (in feet) is a function of t (in seconds), indicating that the distance traveled by the wildebeest at any given time t is equal to the product of the rate (66 feet per second) and the time elapsed (in seconds).
n 3 4 5 6
y 2 1 0 –1
Based on the given data points, one possible rule that can be used to roughly fit the data points is:
y = - n + 5
This formula describes a decreasing linear function where y decreases by 1 for every increase in n by 1, and the maximum value of y is reached when n is 2.
However, it is important to keep in mind that there could be multiple other rules that also fit the data shown in the table.