Question

3.1.3 How far was the hiker at 10:30?

Answer 1

Answer:

$y = 1400 + 5.2x$ --- Running cost

$y = 25 x$ --- Monthly income

71 cars

R1775

Step-by-step explanation:

Given

Expenses

$Salaries = 1400.00$

$Others = 5.20$ per car

Income

$Rate = 25.00$ per car

Solving (a): Expression for the running cost

This is calculated as:

$y = Salary + Others * x$

Where

y = Total running cost

x = number of cars

So:

$y = 1400 + 5.20 * x$

$y = 1400 + 5.2x$

Solving (b): Expression for monthly income

This is calculated as:

$y = Rate * x$

Where

y = Total income

x = number of cars

So:

$y = 25.00 * x$

$y = 25 x$

Solving (c): Break even

To do this, we equate the expressions in (a) and (b)

$y = y$

$25x = 1400 + 5.2x$

Collect Like Terms

$25x -5.2x= 1400$

$19.8x= 1400$

Solve for x

$x = \frac{1400}{19.8}$

$x = 71$

Solving (d): How much to break even

Substitute 71 for x in any of (a) or (b)

$y = 25 x$

$y = 25 * 71$

$y = 1775$

Solving (e): There is no question to answer on the "graph"