Writing and using Linear Functions Given two points - Application
Identify the information given to you in the application problem below. Use that information to answer the questions that follow.

Round your answers to two decimal places as needed.
You have 578 decorative bricks delivered to your house and set down in your driveway. You need to move all of the bricks to your backyard. You move a few bricks by hand and quickly decide that will take forever, so you go buy a wheelbarrow to haul the rest. You decide to pace yourself by hauling 4 wheelbarrows full of bricks each hour. After 5 hours, you determine that you have moved 226 bricks to the back yard. After 8 hours, you find you have moved 358 bricks to the back yard.
How many bricks an hour are you moving using the wheelbarrow? This value is the Slope of your Linear Equation:

I am moving bricks per hour using the wheelbarrow.
How many bricks had you moved by hand before you started using the wheelbarrow? This value is the Vertical Intercept of your Linear Equation:

I moved bricks by hand before I started using a wheelbarrow.
Write a Linear Function that represents this situation. Write your equation in the form of Q(t)=mt+b\displaystyle {Q}{\left({t}\right)}={m}{t}+{b} where Q(t)\displaystyle {Q}{\left({t}\right)} is the quantity of bricks moved after t\displaystyle {t} hours.

Linear Function: Q(t)=\displaystyle {Q}{\left({t}\right)}=  
Find the value of t\displaystyle {t} where Q(t)=578\displaystyle {Q}{\left({t}\right)}={578}. Write your answer as an Ordered Pair:

Complete the following sentence to explain the meaning of the Ordered Pair.

After using the wheelbarrow for hours, I will have moved all of the bricks to the back yard.

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