Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. City Cab A charges a flat rate of $2.00 and a rate of $.50 per mile. City Cab B charges a flat rate of $1.75 and a rate of $.65 per mile.Task 1 a. For the first company write an equation in slope-intercept form.b. What do the slope and y-intercept mean in the context of this problem? Hint: What do you pay when you step into the cab? Task 2 For the second company, express in a table the cost of the cab ride given the number of miles provided.Number of Miles 0 1 2 3 4 5Total Cost (dollars) a. For the second company write an equation in point-slope form.b. What does the slope mean in the context of the problem? ---------------------------------------------------------------------------------------------Helpful formsSlope-Intercept Form y=mx+bPoint-Slope Form y-y_1=m(x-x_1)
Accepted Solution
A:
1a.) y=0.5x+2 1b.) The 0.5x is the slope. It represents the amount of extra money you are paying (in addition to the automatic $2) per mile. The y-intercept is 2. That represents the amount you automatically pay for that company.
2.a) I forgot how to do point-slope form, but for 2b., the slope is representing the same thing as in 1a. The slope is .65 and it is representing the amount of money you pay (in addition to the automatic $1.75) per mile.
To find the answers to the table question, use the slope intercept formula, y=.65x+1.75 Plug the numbers they are asking about in for x.
Example: Plugging in 3 we get y=(.65)(3)+1.75 which will equal 3.7 so the amount of money you pay after driving for 3 miles is $3.70. (: