Question

Jackson currently has $35 in his bank account, and he is saving $15 a week to eventually buy a new cell phone. He can represent the amount in his account with the equation y = 15x + 35.

Answer 1

Answer:

Answer:

1. We have our function y = 15x + 35

a) Where the x represents the numbers of weeks since each week he is saving $15, which is the independent variable.

b) Where the y represents the total money he has, which is the dependent variable.

c) the slope is 15, as x increments, the slope goes up by 15.

d) The y-intercept is 35, because when x = 0, y = 35.

2. To create the table you have to find the value of y, knowing the values of x.

Using our function, when x = 0

y = 15(0) + 35

y = 0 + 35

y = 35

Using our function, when x = 1

y = 15(1) + 35

y = 15 + 35

y = 50

Using our function, when x = 2

y = 15(2) + 35

y = 30 + 35

y = 65

Using our function, when x = 3

y = 15(3) + 35

y = 45 + 35

y = 80

Using our function, when x = 4

y = 15(4) + 35

y = 60 + 35

y = 95

Using our function, when x = 5

y = 15(5) + 35

y = 75 + 35

y = 110

Yes, the table is proportional, because for each week, the value of his money is increasing by 15.

3. To create the graph, you can put the values of the table into the graph

And the graph is not proportional because to be proportional the relationship between “x” and “y” should be constant, meaning that, if “x” changes, “y” changes by the same percentage.

In this case our function has an intercept of 35 meaning that at week 0, he has $35 saved,

after a week: $50,

after two weeks: $65,

So, although is linear, is not proportional because when you double the weeks saved, you don't double the money saved.