The amount a taxi driver charges a customer is given by the equation A=1.25+5.25, where A is the total amount charged and k is the kilometers driven. a) What do the numbers in the equation represent? b) Make a table of values for distances 0-10 km. c) Graph this relation. Liner or non-linear? d) Using your graphed relation, how much is charged if a person goes 7.5 km? e) Using your graphed relation, how far can a person go in a taxi for $15?

Hello! I suppose the equation is 1.25+5.25*k . It may also be 1.25*k+5.25.
a. Then we see that the number 1.25 (the free term) is in dollars (or other currency) and it represents the fixed cost. The number 5.25 is in dollars by kilometer and it represents the cost per each kilometer driven.
b. It is not difficult to make the table of values, just substitute different values of k to the formula.
k |    0   |    1   |    2    |    3     |    4    |    5    |    6     |    7    |    8     |    9    |    10     |A | 1.25 | 6.50 | 11.75 | 17.00 | 22.25 | 27.50 | 32.75 | 38.00 | 43.25 | 48.50 | 53.75 |
Of course each next value is 5.25 greater than the previous.
c. The graph is attached. Of course this relation is linear (the formula is in the slope-intercept form).
d. The graph shows that for 7.5 km one will be charged $40.625 (probably $40.63 ).
e. The graph shows that for $15 a person can go as far as about 2.6 km.
Of course the results d and e may be found analytically, too. [Tell me if you need this or if the formula is actually 1.25*k+5.25.]