How do you solve this problem? This is the first part.

Question

George joined Games-R-Us, an online gaming store. It charges a monthly subscription fee plus a fee for every game purchased. The graph below shows the relationship of the monthly cost and number of games purchased.

Answer 1

The monthly cost is determined by evaluating where the line begins along the y-axis. For example, if the line begins at the left side of the graph at the point (0,5), the monthly subscription cost is $5 per month. Then, the per-game cost is determined by evaluating the rise of the line from left to right. For example, if the next point along the line is (2,14), the cost for two games is $9 (or 14 – 5). Therefore, the per-game cost is $4.50 each.

Answer 2

By examining the graph you sent me, I first recognize that this is a graph of a straight line. Straight lines have important properties.

The important things to determine for straight lines are the slope and the y-intercept of the graph.

The y-intercept (where the line crosses the y-axis) is 5, halfway between the marked 4 and 6.

This indicates that even if no games are purchased, each customer must pay a monthly charge of $5. This point can be written as (0,5).

To find the slope, an easy method is to find another "corner point" (a point on the line that intersects a corner of the grid). (2,14) is a corner point.

The slope formula is (y₂ - y₁) / (x₂ - x₁). You can use either point for (x₁ , y₁): you will get the same result.

Just make sure you are consistent in that you substitute in the values in the indicated locations.

(14-5)/(2-0) = 9/2 = 4.5

Or (5-14)/(0-2) = 4.5

The slope of this line is 4.5, and it represents the cost per game, $4.50

The equation of this line is y = mx + b, where m is the slope and b is the y-intercept. In this case:

y= 4.5x + 5

If you have any other questions, please ask.