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iragen [17]
3 years ago
5

What is the unit rate of y = 2/3x ? ( must satisfy the definition of unit rate )

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0
The unit rate is 2/3 because in the line y=2/3x, 2/3 is the slope (y=mx+b). The slope of the line is pretty much the definition of a unit rate because the unit rate is a constant addition or subtraction over and over. In addition, it is a straight line(y=mx+b) and the values are going up at a constant rate of 2/3.
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Which model represents −8 + 3
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The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with
zloy xaker [14]

The reasonable estimate of the current customer price index is 195. The option B is the correct option.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

\rm CPI_t=\dfrac{C_t}{C_0}\times 100

Here \rm C_t is the cost of market basket in current period and \rm C_0 is the cost of market basket in the base period.

Cost of market basket in current period is

\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9

Cost of market basket in 1983 is,

\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8

Substitute all the values in the formula

\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx

Thus the value of current CPI is 168.5 which is near about the 170.

Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

brainly.com/question/25495502

3 0
2 years ago
10
Novay_Z [31]

Answer:

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎

Step-by-step explanation:

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)

Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

5 0
3 years ago
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to t
yanalaym [24]

Answer:

Option C.

Step-by-step explanation:

A dashed straight line has a negative slope and goes through (0, 2) and (4, 0).

The given inequality is

y

We need find the point which is a solution to the given linear inequality.

Check the given inequality for point (2, 3).

3

3    

This statement is false. Option 1 is incorrect.

Check the given inequality for point (2, 1).

1

1

This statement is false. Option 2 is incorrect.

Check the given inequality for point (3, -2).

-2

-2

This statement is false. Option 3 is correct.

Check the given inequality for point (-1,3).

3

3

This statement is false. Option 4 is incorrect.

Therefore, the correct option is C.

4 0
3 years ago
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