MATHEMATICS HIGH SCHOOL

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years? A. n= 2.5(1.5)/t, t cannot = 0
B. n= 1.5t^2 + 1.25
C. n= 1.5t + 1.25
D. n= 1.25(2.5^t)

Answers

Answer 1

Answer:

For this case we have a function of the form:

Where,

n0: initial amount (in units of millions)

b: growth rate

t: time in years

Substituting values we have:

Answer:

the number of toys being produced, n (in millions), in t years is:

D. $n = 1.25 (2.5 ^ t)$

Answer 2

Answer:

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the factory produces 1,250,000 toys each year.

In the function n (in millions), So the initial production is 1.25 million.

The increasing rate is 150%. THe increasing rate is 1.5.

The function is defined as,

$n=n_0(1+r)^t$

Where n₀ is initial production, r is rate and t is time.

$n=1.25(1+1.5)^t$

$n=1.25(2.5)^t$

Therefore the correct option is D.

Related Questions

What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)? A)(–3,0) B)(–1,0) C)(1,0) D)(3,0)
Can someone please help me with question 9. Somebody answered it but this is the full question
the water level in a leaky swimming pool fell by the same amount each day for 6 days. Over time the water level measure 4 inches lower. What was the change in the water each day
What's the area of the room in this diagram?A. 156 square feetB. 84 square feetC. 166 square feetD. 25 square feet
Connecting a DVD player to a television set requires a cable with special connectors at both ends. You buy a six-foot cable for $15.50 and a three-foot cable for $10.25. Assuming that the cost of a cable is the sum of the cost of the two connectors and the cost of the cable itself, what is the cost of a four-foot cable?

Solve for c ab+c=5
c=5/ab
c=5-ab
c=5+ab

Answers

The answer is the second choice. c=5-ab

Answer:

c=5-ab is the correct one.

Step-by-step explanation:

Elsa knows that for every bushel of apples she sells she earns $9 and for every basket of pears she earns $11. She uses the expression 9a + 11p to keep track of her earnings. Part A: Identify the coefficients and variables in the expression. (3 points)

Part B: How many terms are in the expression, what are they, and how do you know? (4 points)

Part C: Which term in the expression shows the total earned from selling baskets of pears? (3 points)

Answers

A. Variables are A and P and the coefficiants are 9 and 11

B. 2 terms , 9a and 11p , there are 2 "groups" that are separated by the addition sign

C. 11p shows the total earned you would just have to plug in the amound of baskets of pears on for p and multiply 11 and p to find out the amount earnes

The coefficients are 9 and 11 since they are multiplied by a variable; the variables are a and p since a and p are unknown.
There are two terms in the expression. The terms are 9a and 11p. They can be a separate part of an equation, a series, or another expression.
11p is the term that shows the total earned from selling baskets of pears since $11 is how much Elsa gets for every basket of pears.

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? A. Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

C.Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

D.Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.

Answer:

A is the correct option.

Step-by-step explanation:

The slope of the line is 2 and the y-intercept is -6.

y-intercept is the point where x is zero. Hence, the point is (0,-6)

When we graph a linear function by slope-intercept method, first of all we plot the y-intercept.

Hence, first of all we plot the point (0,-6)

Now, slope is given by

$\text{slope}=(rise)/(run)$

if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point.

$\text{slope}=2=(rise)/(run)$

rise = 2

run = 1

Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points.

A is the correct option.

Can anyone solve this word problem?

Answers

Answer:

Mrs. Davis package is 30 ounces

Step-by-step explanation:

x for ounces

mailbox plus=0.25x+5

united package=0.35x+2

since Mrs.Davis noticed that she is going to pay same price then:

0.25x+5=0.35x+2

5-2=0.35x-0.25x

3=0.10x

x=3/0.10

x=30 ounces

Mrs. Davis package is 30 ounces

check:

0.25x+5=0.25(30)+5= 12.5 dollars

o.35(30)+2=12.5 dollars

When the point (-3,2) is reflected across the y-axis, what are the coordinates of the resulting point?

Answers

A reflection across the Y-axis means that the Coordinate's X-value switches signs and the Y-value stays the same. So in the case of (-3,2)
being reflected across the y-axis that means that -3 flips its sign and becomes a normal 3 and the 2 stays the same. Therefore the new coordinate is (3,2)

Two men decide to drive to a distant town, taking the same route. The first leaves 2 hours ahead of the second and drives at 60 km per hour, while the second man drives at 90 km per hour. How many hours will it take the second man to catch up with the first man?