#11 Susannah went shopping and bought 3 pairs of jeans for $138. If each pair cost the same, how much does one pair cost?
2 answers:
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Answer:
h(d) = (17/3249)(-d² +114d)
Step-by-step explanation:
For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...
f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)
We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...
f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)
Using the appropriate function name and variable, we have ...
h(d) = (17/3249)(-d² +114d)
For this case we have the following expression in units of minutes:
As the exponent is positive we run the decimal six spaces to the right:
We have 1 hour has 60 min, then:
On the other hand, we have one day has 24 hours.
Likewise, a month has 30 days:
Also, one year has 365 days:
Finally, Mia is 13 years old equivalent to 160 months, which is equal to 4817 days.
ANswer:
Mia is 13 years old equivalent to 160 months, which is equal to 4817 days.