What is the rate of change in the y-values with respect to the x values
1 answer:
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Answer:
A) 40
B) $ 15
Step-by-step explanation:
<u>A)An equation for the number of 30-day periods until the value of the gift cards will be equal</u>
Let x be the number of time periods for which the gift card is not used, then
For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is
155 - 3.50 x---------------------(1)
For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is
135 - 3x---------------------- (2)
Now when both the amount lost is equal
solving the equation, we get
20 = 0.5x
x = 40
Thus the value of gift cards will be equal for 40 ,30 day periods.
<u>B)The value of each card be when they have equal value</u>
The two cards will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.
Then
substituting x = 40, we get
when they have equal value, the value of each card will be $15