Answer:

Step-by-step explanation:
step 1
Find the slope m
The formula to calculate the slope between two points is equal to
we have the ordered pairs
(10,5) and (2,-3)
substitute the values
step 2
Find the equation of the line in slope intercept form

we have

substitute and solve for b



The linear function is equal to

Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.
Step-by-step explanation:
I hope this helps you understand how to do the problem.
Answer:

Step-by-step explanation:
In order to solve this it is always a good idea to start by drawing a diagram of the situation (See attached picture).
From the diagram we can see that we are dealing with similar triangles. We can use similar triangles to build an equation that relates the length of the shadow with the height of the lamp, so we get:

the height of the lamp can be found by subtracting the
distance the lamp falls in a given time t from the original 30ft the lamp was located at.
So the equation will now lok like this:

So now we can solve the equation for L, we can start by multiplying by the LCD SO WE GET:

next, we can distribute the right side of the equation so we get:

and subtract 6L from both sides so we get:

and factor L, so we get:

and solve for L:

now, we can differentiate this equation by using the chain rule, so we get:

which can be simplified to:

and now we can substitute t for 1s so we get:

