Question

evaluating and solving an equation 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 14560 pounds of decorative rock delivered to your house and dumped in your driveway. you need to move all of the rock to your backyard and decide to pace yourself by hauling 8 wheel - barrows full of rock each hour with each wheel - barrow load holding 70 pounds of rock. the number of pounds of rock in the driveway, r, after t hours can be modeled by the linear function r(t)=14560 - 560t
find the vertical intercept. write your answer as an ordered pair:
complete the following sentence to explain the meaning of the vertical intercept. make sure to use units in your answers
at, you have of rock in your driveway.
find the horizontal intercept. write your answer as an ordered pair:
complete the following sentence to explain the meaning of the horizontal intercept. make sure to use units in your answers
after, you have of rock in your driveway.
evaluate r(8). write your answer as an ordered pair:
complete the following sentence to explain the meaning of the ordered pair. make sure to use units in your answers
after, you have of rock in your driveway.
find the value of t where r(t)=6720. write your answer as an ordered pair:
complete the following sentence to explain the meaning of the ordered pair. make sure to use units in your answers
after, you have of rock in your driveway.
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Explanation:

Answer:

(1) Vertical - Intercept: \((0,14560)\)
(2) At \(0\) hours, you have \(14560\) pounds of rock in your driveway.
(3) Horizontal - Intercept: \((26,0)\)
(4) After \(26\) hours, you have \(0\) pounds of rock in your driveway.
(5) \(R(8)\): \((8,10080)\)
(6) After \(8\) hours, you have \(10080\) pounds of rock in your driveway.
(7) When \(R(t)=6720\), \((14,6720)\)
(8) After \(14\) hours, you have \(6720\) pounds of rock in your driveway.