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anygoal [31]
3 years ago
14

Mr Hughes is competing in the Mr. Legs campaign to raise money for the coral shores high school scholarship fund. On the first d

ay he collected $2. On the third day he collected $8 dollars. Let D represent each collection day and N represent the number of dollars collected on that day. Matt says claims the situation can be modeled by an exponential function. Emily disagrees and claims the number of dollars collected can be modeled by a linear function. Which statement is true about the number of dollars predicted to be collected on the 6th day based on the two models.
Mathematics
2 answers:
frosja888 [35]3 years ago
7 0

Answer:

B

Step-by-step explanation:

The answer is B i'm pretty sure

lakkis [162]3 years ago
4 0
<span>The number of dollars collected can be modelled by both a linear model and an exponential model. To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8) The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3 y - 2 = 3(x - 1) = 3x - 3 y = 3x - 3 + 2 = 3x - 1 Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17 To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2. 8 = 2r^(3 - 1) = 2r^2 r^2 = 8/2 = 4 r = sqrt(4) = 2 Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
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Find the missing value.
Fudgin [204]

Answer:

$3125

Step-by-step explanation:

A = P(1 + \frac{r}{100} )^{n}

A = 250(1 + 0.25)ⁿ

A = (312.5)ⁿ

n = 10

A = $3125

A = I

8 0
3 years ago
How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
dexar [7]

Answer:

6.04 km

Step-by-step explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\  x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km

3 0
3 years ago
3. Consider the expression 4x + 15.
Softa [21]
Example of a real world problem:
Chris is starting a handmade card business. In the beginning, he starts off with 15 cards and makes 4 new cards every week.

The variable (x) would represent the number of weeks that passed.

Example 2:
Sam decides to start saving up money to buy a video game. She starts off with 15 dollars and gets an allowance of 4 dollars every day.

The variable (x) would represent the number of days that pass.

To come up with your own equation, most times, x represents a unit of time. The zero value (the number that isn’t being multiplied by a variable) in the equation always represents your starting value, and the coefficient of the variable represents how much of something is being gained or added after a duration of time.

I hope this helps!
8 0
3 years ago
What is the solution of x = 2 startroot x minus 2 endroot? x = 2 x = 3 x = 2 or x = 3 no solution
Vadim26 [7]

Radical expression are expressions that contains square root. The value of x from the given radical expression is 3

<h3>Radical equations and expression</h3>

Given the equation expressed as:

x = 2 + √x - 2

Subtract 2 from both sides

x - 2 = √x - 2


Square both sides

(x-2)^2 = x - 2

x - 2 = 1

x = 1 + 2

x = 3

Hence the value of x from the given radical expression is 3

Learn more on radical expression here: brainly.com/question/738531

8 0
2 years ago
A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?
Dafna1 [17]
11 x 8 = 88
88x2=176
176x5=880
6 0
3 years ago
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