Question

3. A taxi cab company charges $3.00 for 1 minute and $5.50 for 6 minutes.

a) Calculate the slope. What does it mean according to the question?
b) Calculate the y-intercept. What does it mean according to the question?
c) How much would it cost for a 30-minute cab ride?
d) How far could you travel for $50?

Answer 1

a) 1/2

b)2.5

c)17.5

Explanation:

The question gives you two points on the line. From this, you can calculate the slope. Since slope is m=
`y_2-y_1/x_2-x_1`, the work for question a is as follows:

m= 5.5-3/6-1

m=1/2 or 0.5

Now, you can use the information given to calculate the y-intercept. Use any of the two points to fill in x and y, and use the slope you just calculated to fill in for m. Fill in the equation and use algebra to isolate the variable and solve for b.

y=mx+b

3=0.5(1)+b

3-0.5=b+0.5-0.5

2.5=b

Finally, plug in all the numbers to find the answer for question c.

y=0.5x+2.5

y=0.5(30)+2.5

y=17.5