Question

Bob has 10 apples after 4 hours he has 6 apples. Find the slope l the line that indicates the rate that bob eats apples at.

Answer 1

y= -x + 10

Explanation:

At 0 hours = Bob has 10 apples

At 4 hours = Bob has 6 apples

In 4 hours Bob has eaten 4 apples

Using linear graphs where y = the apples remaining and x = the hours passed

y = mx + c

We already know some coordinates:

(0,10) - 0 hours 10 apples remaining

(4,6) - 4 hours 6 apples remaining

c is the y intercept and m is the gradient

We already have the y intercept (where x = 0) which is (0,10)

So first part of our rule is done: y = mx + 10

The gradient is rise / run

Rise = -4 and Run = 4

-4/4 = -1

So the gradient is -1 and we add that to our rule

So final rule is y = -x + 10