The product of 8 and a number is 25 less than twice that number. find the number
1 answer:
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Answer:
- Unit price of a 2-liter bottle of soda:
- Unit price of a case of twelve 12 ounce cans:
- The better bargain is the case of 12 ounce cans.
Step-by-step explanation:
Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.
According to the data provided in the exercise, you know that:
1. The 2-liter bottle of soda is equal to 67.6 ounces.
2. That bottle costs $1.89
Then, the unit price is:
3. There are 12 ounce cans in the case. Then the total ounces is:
4. It costs $2.99. So the unit price is:
Since:
The better bargain is the case of 12 ounce cans.
we have
This is the equation of a vertical parabola with vertex at point
The parabola open upward------> the vertex is a minimum
This is the equation of a vertical parabola with vertex at point
The parabola open upward------> the vertex is a minimum
so
the rule of the translation is
that means
the translation is units to the right and
units up
the graph of the function g(x) is the translated graphic of the function f(x) units to the right and
units up
therefore
<u>the answer is</u>
g(x) is shifted units right and
units up