The original price p for one lunch special is $20 without any discount
It is given that,
Ali wins a coupon for $3 off the lunch special for each of 5 days, which means for the next 5 days lunch he will have to pay $3 less on each lunch
Discount coupon are customized or widely available codes that are made available to customers as a purchase incentive and lower the cost of an order.
Now,
Ali pays $85 for his 5 lunch specials
We need to find the original price p for one lunch special
The original price which Ali has to pay without any discount =
$85 + ($3) x 5 = $85 + $15 = $100
Also, we need to find his each lunch meal price for 5 days =
p = = $20
Hence, the original price p for one lunch special is $20.
To learn more about, discount here
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A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:
g(x) = 2*f(x + 4) - 1
<h3>
How to write the given transformation?</h3>
For a general function f(x), a vertical stretch of scale factor K is written as:
g(x) = K*f(x).
<u><em>Horizontal translation:</em></u>
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
<u><em>Vertical translation:</em></u>
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the shift is upwards.
- If N is negative, the shift is downwards.
So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:
g(x) = 2*f(x)
Then we translate it 4 units left:
g(x) = 2*f(x + 4)
Then we translate 1 unit down:
g(x) = 2*f(x + 4) - 1
This is the equation for the transformation.
If you want to learn more about transformations, you can read:
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Answer:
y=3/4x + 4
Step-by-step explanation:
- slope intercept form is y=mx+b
- get two points on the graph which are (4,6) and (8,9)
- use the formula y2-y1/x2-x1
- 9-6/8-4
- 3/4 that will be the m because it's the slope
- use 4 as your y intercept since that's when it crosses the y-axis
- insert these numbers in the formula
- y=3/4x + 4
Answer:
B. f(x) = 7000x + 4000
Step-by-step explanation:
To find the best function for this situation, we need to list down all the things that we know first.
We currently have:
35000 total seats
4000 fans
11000 fans after an hour
So that means that after an hour, we had:
11000 fans - 4000 fans = 7000 fans
At one o'clock we had 7000 more fans arrive.
So we can assume that:
x = number of hours
f(x) = 7000x + 4000 will be the best function to use to find out if there that 90% of the stadium will be filled by game time.
To test this function let's use it:
f(1) = 7000(1) + 4000
f(1) = 11000
This is after hour 1.
Now let's see after hour 4 since the game starts at 4.
f(4) = 7000(4) + 4000
f(4) = 28000 + 4000
f(4) = 32000
So 90% of 35000 is:
35000 x 0.90 = 31500
By game time we have 32000 fans which is above 90% of the total number of seats.
So the stadium owners estimate is correct.