Can someone please make up data and show me how these questions are done?

In the original problem, the data includes; the base fare price, price by mile and price by minutes.
a)Use the data shown above and express in words the amount the cab company charges per ride and per mile.
b)Write an equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did.
c)What does the y-intercept mean in the context of this problem?

so much to get on board plus so much per mile

for example if the costs were
one mile for $10
two miles for $15
then
cost = m x + b
10 = m (1) + b
15 = m(2) + b
-------------- subtract
-5 = m - 2 m = - m
so
m = 5
then b = 5
so
cost = 5*(miles) + 5

five to get aboard, + five per mile
the y intercept is the cost to get on board even if you go nowhere :)

a) To determine the amount the cab company charges per ride and per mile, we need the specific values for the base fare price, price per mile, and price per minute. Let's assume the base fare price is $2, the price per mile is $1.50, and the price per minute is $0.25.

To calculate the total amount charged for a ride, you would need to add the base fare price to the product of the distance traveled (in miles) by the price per mile, and the duration of the ride (in minutes) multiplied by the price per minute.

For example, let's say the distance traveled is 10 miles and the duration of the ride is 20 minutes. The total charge for the ride would be:
Base Fare Price + (Distance Traveled * Price per Mile) + (Duration of Ride * Price per Minute)
= $2 + (10 * $1.50) + (20 * $0.25)
= $2 + $15 + $5
= $22

Therefore, based on the given data, the cab company charges $22 per ride.

To determine the amount charged per mile, we can divide the total charge for a ride by the distance traveled. Using the same example as above:
Amount per Mile = Total Charge / Distance Traveled
= $22 / 10
= $2.20 per mile

b) Writing an equation in slope-intercept, point-slope, or standard form depends on the specific problem and its requirements. In this case, let's write the equation in slope-intercept form: y = mx + b, where y represents the total charge for a ride, x represents the distance traveled, m represents the price per mile, and b represents the base fare price.

The equation would be: y = mx + b

To substitute the specific values from the given data into the equation, we have:
y = (1.50)x + 2

We choose the slope-intercept form since it is straightforward to interpret the slope (m) as the price per mile and the y-intercept (b) as the base fare price.

c) In the context of this problem, the y-intercept (b) represents the base fare price. It is the fixed amount that the cab company charges regardless of the distance traveled or the duration of the ride.

In this case, if a passenger travels a distance of 0 miles (x = 0), the equation becomes:
y = (1.50)(0) + 2
y = 0 + 2
y = 2

Therefore, the y-intercept of 2 represents the base fare price of $2, which is the initial charge irrespective of any distance or time.