You can buy a 6 hour phone card for $5, but the fine print says that each minute you talk actually costs you 1.5 minutes of time
. What is th equation that models the number of minutes left on the card compared with the number of minutes you actually talked? What is the graph of this equation?
1 answer:
we are given
You can buy a 6 hour phone card for $5
so, total hours = 6 hours
now, we can change it into min
6 hours = 6*60 min
Let's assume
x is the number of actual minutes talked,
y is the called number of minutes left on the card
and we are given
each minute you talk actually costs you 1.5 minutes of time
so, we get equation as
Graph:
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Answer:
<u>Linear relationship</u>: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
<u>Inverse relationship</u>: the value of one variable decreases as the value of the other variable increases.
<u>Exponential relationship</u>: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
<u>Question 5</u>
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values are calculated by dividing 35 by the x-value.
**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**
<u>Question 6</u>
As the x-value increases, the y-value increases. The y-value increases by a factor of 5 for each x-value increase of 1 unit.
Therefore, this is an exponential relationship.