Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost
1 answer:
a = amount of advance tickets sold
s = amount of same-day tickets sold
we know that for that performance 55 were sold in all, thus a + s = 55.
and since we know each a costs 35, then the whole amount sold was 35a, and for all s sold it was then likewise 30a.
the total amount paid for all 55 that day was 1775, thus 35a + 30a = 1775.
how many s were sold? well s = 55 - a.
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Answer:
Option A
Annette picked 50 roses from the garden
Step-by-step explanation:
Let us understand the problem, designating letters to represent unknown quantities.
Let the total number of roses = x
20% of the roses were red means that 20% of x = red
Since the number of red roses = 10,
we will have that 20% of x = 10
mathematically, we will have
hence, Annette picked 50 roses from the garden
We start with the parent function
The first child function would be
We have multiplied the input of the function by a constant: we have
This kind of transformation result in a horizontal stretch/compression. If the multiplier is greater than 1, we have a compression. So, this first child causes a horizontal compression with compression rate 2.
The second child function would be
We added 6 to the input of the function: we have
This kind of transformation result in a horizontal translation. If the constant added is positive, we translate to the left. So, this second child causes a translation 6 units to the left.
The third child function would be
We changed the sign of the previous function (i.e. we multiplied it by -1): we have
This kind of transformation result in a vertical stretch/compression. If the multiplier is greater than 1 we have a stretch, if it's between 0 and 1 we have compression. If it's negative, we reflect across the x axis, and then apply the stretch/compression. In this case, the multiplier is -1, so we only reflect across the x axis.
The fourth child function would be
We added 3 to previous function: we have
This kind of transformation result in a vertical translation. If the constant added is positive, we translate upwards. So, this last child causes a translation 3 units up.
Recap
Starting from the parent function , we have to:
- Compress the graph horizontall, with scale factor 2;
- Translate the graph 6 units to the left;
- Reflect the graph across the x axis;
- Translate the graph 3 units up
Note that the order is important!