the difference between the prices of a first-class ticket and a coach ticket for an airplane is $135 the cost of a first-class ticket is 175% of the cost of a coach ticket what is the cost of a coach ticket?

$ 236.25

Step-by-step explanation:

Coach ticket prize = $135

if the coach ticket prize is one the first class ticket will be $175

then when it is $135 prize it ahould be = 135/100 ×175 = $236.25

Explanation:

Costs are in dollars

The first class ticket is 175% of the coach ticket, meaning

f = 1.75c

where the 1.75 is the multiplier pertaining to 175%

Think of it like saying 1 + 0.75 = 100% + 75% = 175%

In other words, the first class ticket is 100% of the coach ticket plus an extra 75% on top of that.

The difference in the two tickets is $135, allowing us to write

f - c = 135

Let's plug in f = 1.75c and solve for c.

f - c = 135

1.75c - c = 135

0.75c = 135

c = 135/(0.75)

c = 180

The coach ticket is $180

We could stop here once we figure out the coach ticket cost.

If you want to, let's find the first class ticket cost

f = 1.75*c

f = 1.75*180

f = 315

Then notice how f - c = 315-180 = 135 to show the difference in prices is $135. The answer is confirmed.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.