Sorry, I need to know the options (answer choices) to answer this question.
Answer:Let x represent the number of people
:
A) Regular Cost = 40x
:
B) Group Cost = 25x + 150
:
C) equation graph A is the red line, B is the green line
x axis(each tick mark is one person), y axis(each tick mark is $100)
+graph%28+300%2C+200%2C+0%2C+15%2C+0%2C+600%2C+40x%2C+25%2Ax+%2B150%29+
:
D) The admission prices are the same when there are 10
people and the cost is $400
:
E) 6 people, regular price = 40 * 6 = $240
6 people, group price = (25 * 6) + 150 = $300
:
F) We look at the graph of the two cost functions
The regular cost function is cheaper when we have less than 10 people
The group cost is cheaper when we have more than 10 people
:
G) we solve each cost function for x when the cost is $300
40x = 300
:
x = 7.5 people
:
25x + 150 = 300
25x = 150
x = 6
:
regular price allows us to bring 7 people, one person more than group price
Hope this helps! ~ Autumn :)
We have the following function:
f (x) = 3/8 (4) ^ x
The function is of the form:
f (x) = A (b) ^ x
Where,
A: initial amount
b: growth factor (b> 1)
x: time variable.
Answer:
f (x) = 3/8 (4) ^ x
It is an exponential function of the form:
f (x) = A (b) ^ x
Answer:
y = -1
Step-by-step explanation:
(y+1)/(x-8) = (-1+1)/(-2-8)
(y+1)/(x-8) = 0
y+1 =0
y= -1
Hello there! I can help you! Both problems are set up in the form of ax^2 + bx + c. What we will do for both is multiply a and c together, and find a group of values that add up to b. Let's get started.
1. Okay. 2 is the value of a and 6 is the value of c. -x (-1x) is the value. 2 * 6 is 12. We will find a pair of factors that have a product of 12 and a sum of -1. When we think about it enough, 3 and 4 are factors of 12, but in order to make it into -1, we put the negative symbol infront of the 4. The pair of factors are 3, -4. That makes it (x + 3)(x - 4). However, we are not done yet. We will do something called slide and divide. This means that we will divide the constants by the a value (2), and if they don't divide evenly, we slide it towards the x. 3 and 2 do not divide evenly, so that part becomes 2x + 3. However, 4 can divide into 2 times. In this case, we will not slide it over. It becomes x - 2. There. The expression in factored form is (2x + 3)(x - 2)
2. For this expression, we will do the same steps as expressed above. Multiply a and c, find the factors that have the product of ac AND have a sum of the value of b. 2 * 1 is 2. -7 has to be the sum of the two factors. This can't be put in factored form, because you can't have a number be a product of 2, and have a sum of -7. That's impossible. The expression is already in simplest form.
