Question

Note: A maximum number of 4 points are available for this question. Part A is worth 1 point. Part B is worth 1 point. Part C is worth 2 points.

Brian received 45 trading cards from his mother and 25 trading cards from his uncle to start a collection.
Each week, Brian uses his allowance to buy a new pack of 15 trading cards to add to his collection.

Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.

Answer 1

The representation of Brian's situation in slope intercept form is:

y= 15x +70

Explanation:

Let x be the number of weeks Brian started his collection.

y be the number of cards Brian has at present.

y= 45+25+ 15 x

or, y= 15 x +70

which is in the form of,

y= mx +c (slope intercept form)

where,

m= slope

x= x- intercept

c= constant.