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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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Clive and Erica both have part-time jobs where they get paid by the hour. Erica makes more than Clive. The number of dollars, dd
SIZIF [17.4K]

<em>Missing Options:</em>

<em>A. Erica's graph is incorrect, because the slope  should be greater than 9.5. </em>

<em>B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5. </em>

<em>C. Erica's graph is correct, because the slope  should be less than 9.5. </em>

<em>D. Erica's graph is correct, because the y–intercept  should be less than 9.5.</em>

<em></em>

Answer:

A. Erica's graph is incorrect, because the slope  should be greater than 9.5.

Step-by-step explanation:

Given

Clive:

d = 9.5h

Erica:

m = 9 --- slope

b =0 --- y intercept

First, we need to determine the equation of Erica's earnings using

d = mh + b

Where

m = slope = 9

b = y intercept = 0

So, the equation becomes

d = 9 * h + 0

d = 9h + 0

d = 9h

This implies that Erica earns 9 dollars per hour

For Clive:

d = 9.5h

This means that Clive earns 9.5 dollars per hour

From the question, we understand that Erica earns more than Clive.

<em>So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.</em>

<em>When the slope is greater than 9.5, then she earns  more than Clive.</em>

6 0
3 years ago
The decimal i am thinking of is 3 hundredths less than 3 tenths. What is my decimal
Alinara [238K]

3 hundredths - 3/100

3 tenths - 3/10

3/10 is the same as 30/100

3/100 less than 30/100 is 30/100-3/100 = 27/100

Answer: 27/100

6 0
3 years ago
Which could be the next step in simply fingers this question 13 +19+7
Alja [10]
You would add 13+19=32

then add 32+7 which equals 39 :P
7 0
3 years ago
Read 2 more answers
Multiply. Express your answer in simplest form. 7 1/8 × 2
katovenus [111]

Answer:

112

Step-by-step explanation:

in the pic! it is pretty easy if you think abt it tho

7 0
4 years ago
It takes Mark 3 minutes to make 1 1/2 inches of a bracelet. If he works at the same speed, how many minutes will it take him to
RUDIKE [14]

Answer:

  24 minutes

Step-by-step explanation:

Working at the same speed, the ratio of time to length is the same:

  time/length = t/12 = 3/(1.5)

  t = 12(3/1.5) = 12(2) = 24

It will take Mark 24 minutes to make a 12-inch bracelet.

7 0
4 years ago
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