Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of money in dollars D in his bank is given by
D = 3w + 60 where w is the number of weeks he has saved 3 dollars. His sister Lana helped him find how much money he will have after 4, 15, 20, and 36 weeks. This table shows her results. What is the rate of change using Lana’s values for D and w? Is this a linear model or non-linear model?

W 4 weeks 15 weeks 20 weeks 36 weeks

D D= 3w =60 D = 3w + 60 D = 3w + 60 D = 3w + 60
= 3*4 +60 = 3 * 15 = 3 * 20 + 60 = 3 * 36 + 60
= 12 + 60 = 45 + 60 = 60 + 60 = 108 + 60
= 72 = 105 = 120 = 168
A.
The rate of change varies. It is a linear model.

B.
The rate of change varies. It is a non-linear model.

C.
The rate of change is . It is a linear model.

D.
The rate of change is 3. It is a linear model.

Sagot :

D. The rate of change is 3. It is a linear model.
thisisbenmanley
The answer is D. The rate of change is 3. It is a linear model.

The original equation D = 3w + 60 is in the form y = mx + b, in which m is always the rate of change.  In this case, m = 3, so the rate of change is 3.

Also, when the rate of change is constant, the equation is always linear.  If the equation was plotted on a coordinate plane, it would create a straight line.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.