Answer: D. y = 3x − 1
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 2
y1 = - 1
x2 = 1
x1 = 0
Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3
To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c
y = mx + c. It becomes
2 = 3 × 1 + c = 3 + c
c = 2 - 3 = - 1
The equation becomes
y = 3x - 1
Answer:
24 video games
Step-by-step explanation:
Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.
We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54
To find the number of video-games that will cost same for both options, we will equate both expressions as:
4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54
Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
Answer:
20% added
Step-by-step explanation:
