Eureka Smartphones
Modern
The Situation
Luke wants to buy a cell phone plan that does not cost him much. He comes across two plans in The Eureka Smartphone. The first cell phone plan cost $48 monthly for unlimited minutes of usage. The second cell phone plan costs $10 monthly and $0.05 per minute. Now the question is which plan to buy? To make the decsion, Luke decides to make a scattor plot on the number of minutes and its cost for both Plans.
Recored data for both plans
Identifying the Variables
Independent Variable : cost
Depented Variable : number of minutes used
Depented Variable : number of minutes used
Equation
Plan 1
Plan 2
y=45
The slope is equal to 0
hence the line will be horizontal, with the y- intercept of 45
Plan 2
y=0.5x+10
Slope= Δy / Δx
= 20-15/20-10
= 5/10
= 0.5
y= 0.5x + b
since line passes through (10,15). substitute x= 10 and y= 15
15=0.5(10)+b
15 = 5 +b
15-5=b
10=b
y=0.5x+10
Point of interaction
$45= 0.5x + $10
$45 - $10= 0.5x
$35= 0.5x
$35/0.5= x
70 = x
Point of interaction (70 minutes, $45)
$45 - $10= 0.5x
$35= 0.5x
$35/0.5= x
70 = x
Point of interaction (70 minutes, $45)
Significance
In conclusion, Luke chooses plan 2 until he reaches 70 minutes, than he will switch to plan 1 because will be cheaper than plan 2.