Question

Part A: Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625.

Write an equation in the standard form to represent the total rent (y) that Max has to pay for renting the motorbike for x days.

Answer 1

@aaronq @Loser66

Answer 2

$625 for a week
$465 for 5 days
A week is how many days?

Answer 3

7

Answer 4

Good, so we can rewrite what we have as:
$625 for 7 days
$465 for 5 days
Now we subtract the 2 lines to get:
$160 for 2 days
Ok so far?

Answer 5

OK

Answer 6

If it is $160 for 2 days, then dividing by 2, we get
$80 per day

Answer 7

If it costs $80 per day, how much is the charge for 5 days?
What is 5 * $80 = ?

Answer 8

400

Answer 9

Great, but the charge of r 5 days was $465, not $400.
That means there is a fixed fee plus a daily fee.
We know the daily fee is $80.
The fixed fee must be the excess of $65 from $400 to $465.

Answer 10

That means the equation is:
y = 80x + 65

Answer 11

Now we can check.
For x = 5 (5 days), y = 80 * 5 + 65 = 465
For x = 7 (7 days, a week), y = 80 * 7 + 65 = 625
Both rental periods give us the correct cost according to the given info, so this is the correct equation: y = 80x + 65

Answer 12

Thanks