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lord [1]
2 years ago
9

The table represents a bicycle rental cost in dollars as a

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

Answer:

  (a)  This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

Step-by-step explanation:

The equation of direct variation is ...

  y = kx

for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.

__

<h3>constant of variation</h3>

Solving the direct variation formula for k, we have ...

  k = y/x

Using the table values, we can see if this is constant:

  k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5

The "rate of change" is constant at $5 per hour.

The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

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Which three lengths form a right triangle?
AleksAgata [21]

Answer: the answer is c. 13cm, 14cm, 15cm

Step-by-step explanation:

3 0
3 years ago
What percent of 32 is 21? Round your answer to the nearest tenths
bazaltina [42]

Answer:

65.63%

Step-by-step explanation:

21: 32*100 =

(21*100): 32 =

2100: 32 = 65.63

4 0
4 years ago
Jaclyn estimates the square root of 50 in the following way:
OLga [1]
<h2>Hello!</h2>

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

\sqrt{200}=14.14

and rounding to the nearest tenth, we have that:

\sqrt{200}=14.1

<h2>Why?</h2>

To solve the problem, we need to remember the following property of square roots:

\sqrt{ab}=\sqrt{a}*\sqrt{b}

We are given the expression:

\sqrt{200}

We can rewrite it by the following way:

\sqrt{100*2}

Now, applying the square root property we have:

\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

\sqrt{200}=14.14

and rounding to the nearest tenth, we have that:

\sqrt{200}=14.1

Have a nice day!

6 0
4 years ago
Please help.. tysvm if you do :D
Rama09 [41]
I think it’s c I’m not sure please comment if it’s right so people won’t get it wrong!
3 0
3 years ago
What is the answers to this
Kazeer [188]
A.)81 b.)500 c.)18 d.)36 e.)150 f.)900 g.)64 h.)54 I.)48 j.)7 k.)343 l.)121 m.)324 n.)1000 o.)32 p.)360 q.)225 r.)242
6 0
3 years ago
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