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.
Answer: 67
Step-by-step explanation:
3x^2 + 5x + 25
x = 3
3(3)^2 + 5(3) + 25
3^2 = 9
3(9) + 5(3) + 25
3 * 9 = 27
27 + 5(3) + 25
5 * 3 = 15
27 + 15 + 25
27 + 15 = 42
42 + 25 = 67
Step one rewrite: -46-8x>22
Add 46 to both sides: -8x>68
Divide both sides by -8 to isolate x<-8.5
(remember to flip the inequality sign when multiplying or dividing by negative numbers in inequality problems)
So the correct answer is B. x < -8.5
Answer:
The error make by Josh is none .
Step-by-step explanation:
Given as :
The actual expression is written as ( - 20 a - 8 - 12 b )
The expression written by Josh as - 4 ( 5 a + 2 + 3 b )
Now, From the actual expression , if we take the common term
Then - 4 ( 5 a + 2 + 3 b )
The actual expression after taking common term 4 , is written as
- 4 ( 5 a + 2 + 3 b )
And The expression written by Josh is also - 4 ( 5 a + 2 + 3 b ) , which is the similar one.
So, no error makes by Josh
Hence The error make by Josh is none . Answer
