The cost of parking is an initial cost plus an hourly cost.
The first hour costs $7.
You need a function for the cost of more than 1 hour,
meaning 2, 3, 4, etc. hours.
Each hour after the first hour costs $5.
1 hour: $7
2 hours: $7 + $5 = 7 + 5 * 1 = 12
3 hours: $7 + $5 + $5 = 7 + 5 * 2 = 17
4 hours: $7 + $5 + $5 + $5 = 7 + 5 * 3 = 22
Notice the pattern above in the middle column.
The number of $5 charges you add is one less than the number of hours.
For 2 hours, you only add one $5 charge.
For 3 hours, you add two $5 charges.
Since the number of hours is x, according to the problem, 1 hour less than the number of hours is x - 1.
The fixed charge is the $7 for the first hour.
Each additional hour is $5, so you multiply 1 less than the number of hours,
x - 1, by 5 and add to 7.
C(x) = 7 + 5(x - 1)
This can be left as it is, or it can be simplified as
C(x) = 7 + 5x - 5
C(x) = 5x + 2
Answer: C(x) = 5x + 2
Check:
For 2 hours: C(2) = 5(2) + 2 = 10 + 2 = 12
For 3 hours: C(3) = 5(3) + 2 = 15 + 2 = 17
For 4 hours: C(3) = 5(4) + 2 = 20 + 2 = 22
Notice that the totals for 2, 3, 4 hours here
are the same as the right column in the table above.
Step-by-step explanation:
1 garm = $50.04
7.5 gram = 50.04 × 7.5 = $375.3
<span>You are given volume of 6 US
quart. You are required to convert this into liters and be rounded off to the
nearest hundredth. Keep in mind that for
volume, every one liter is equal to 1.05669 US quart. So you need to divide the
6 US quart. This is equal to 6.34014 liters. To round of the nearest hundredth,
the ocation of the hundredth is the four in 6.3<u>4</u>014. since after four is
zero, the round off rule states that from 0-4, the preceding number remains
unchanged. So the final answer is 6.34 liters.</span>
Answer:
The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70
Step-by-step explanation:
The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.
The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.
The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70
Answer:
x = 2
Step-by-step explanation:
Given
- 7x - 3x + 2 = - 8x - 2 ← simplify left side
- 10x + 2 = - 8x - 2 ( add 8x to both sides )
- 2x + 2 = - 2 ( subtract 2 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
