Question

Calib received $50 for his birthday and put it in his piggy bank. Each week, he puts 2 more dollars in his bank. The amount of money in dollars D in his bank is given by

D = 2w + 50 where w is the number of weeks he has saved 2 dollars. His sister Lara 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 Lara's values for D and w? Is this a linear model or non-linear model?



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

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


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

The rate of change is 2. It is a linear model.

Answer 1

if number of weeks w = 14, then D = (2 * 14) + 50 = 78

Answer 2

Option D)

The rate of change is 2. It is a linear model.

Explanation:

Given that Calib received 50 dollars for his birthday. To that he added every week 2 dollars.

D = 2w+50

We find that whenever a new week comes 2 dollars added to the piggy bank

Hence the rate of change of D for 1 increase in w is 2

The rate of change is 2. It is a linear model.

For any week we can calculate D

as D = 2(w)+50

If for 14 weeks

D=28+50 =78,