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Anna71 [15]
2 years ago
15

Question 9

Mathematics
1 answer:
Maurinko [17]2 years ago
3 0

Answer:

y=-2x

Step-by-step explanation:

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2 years ago
Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the
Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

f(x) = 490 * 0.88^x

Leo

x \to g(x)

0 \to 480

2 \to 360

4 \to 470

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

f(x) = 490 * 0.88^x

f(0) = 490 * 0.88^0

f(0) = 490 * 1

f(0) = 490

From Leo's table

g(0) = 480

By comparison;

f(0) > g(0)

i.e.

490 > 480

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

y = ab^x

Where:

b \to rate

For Tonya

b = 0.88

For Leo, we have:

(x_1,y_1) = (0,480)

(x_2,y_2) = (2,360)

So, the equation becomes:

y = ab^x

480 = ab^0 and 360 = ab^2

Solving 480 = ab^0, we have:

480 = a * 1

480 = a

a= 480

360 = ab^2 becomes

360 = 480 * b^2

Divide both sides by 480

0.75 = b^2

Take square roots

0.87 = b

b=0.87 -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0
2 years ago
A home has a current market value of $225,000. MLS data from the last five years shows that home values have appreciated 6% per
Anastasy [175]

Answer:

THe value after 5 years will be $301100.755

Step-by-step explanation:

Each year the houses appreciates a 6%; as a result, the price of the house is multiplied by 1.06 for each passing year. If 5 years passed, then the price would multiply for 1.06 a total of 5 times, hence it will be multiplied by 1.06⁵.

The value of the house after 5 years will be

225000*1.06⁵ = $301100.755

8 0
3 years ago
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