Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 188 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function

The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation

where m is the slope and b is the y-intercept
so
comparing with the slope-intercept form of the line equation
here:
- c(x) or y represents the cost
and
'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $188
In order to determine the value of x, set c(x) = 188
i.e.
188 = 18x -10
switch sides
188x - 10 = 170
add 10 to both sides
18x - 10 + 10 = 188 + 10
18x = 198
Divide 18 to both sides
18x/18 = 198/18
x = 11
Therefore, if you can buy x = 11 tickets if you pay 170 dollars.
145 = -16 t² + 80 t +s
s = ?
v = v0 - at
0 = 80 - at
80 = at
s = 80 t - at²/2
s = 80 t - 80t/2
s = 40 t
Finally: 145 = -16 t² + 80 t + 40 t
16 t² - 120 t + 145 = 0
We will solve this quadratic equation:
t = [120 +√ ( (-120)²- 4 · 16 · 145 )] / 32
t = [120 + √ (14400 - 9280) ] / 32
t = (120 + 71.55) / 32 = 5.98 ≈ 6 s
Answer:D) 6 seconds