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Tema [17]
4 years ago
11

Which strategy best explains how to solve this problem? George entered his frog in a jumping contest. The frog jumped 2 feet the

first jump. On the second jump, the frog jumped twice as far (4 feet). Each time the frog jumped, the jump doubled in length from its previous jump. How far did the frog jump on the 5th jump? A. Make a table. In the first row, write 1st jump - 2 ft. In the next row, write 2nd jump - 2 ft. In the 3rd row, write 3rd jump - 2 ft. Continue this pattern until you get to the 5th jump. Then add the numbers in the right column to find the number of feet the frog jumped on the 5th jump. B. Draw a diagram. Draw a line and label it 2 ft. Draw a line twice as long and label it 4 ft. Do this three more times. Keep doubling the distance each time to find how far the frog jumped on the 5th jump. C. Write a number sentence. (2 × 5) + 2 + 4 = x Multiply 2 inches by the 5th jump, then add the distances from the first and second jump.
Mathematics
1 answer:
ruslelena [56]4 years ago
8 0
I'm pretty sure
<span>B. Draw a diagram. Draw a line and label it 2 ft. Draw a line twice as long and label it 4 ft. Do this three more times. Keep doubling the distance each time to find how far the frog jumped on the 5th jump
is correct</span>
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a) Option B Direct variation, y=1.8x is correct option.

b) Option A Not a direct variation is correct option.

Step-by-step explanation:

a) for the data in the table tell whether y varies directly with X if it does write an equation for the direct variation

The direct variation is represented by:

y=kx \,\,or\\\frac{y}{x}=k

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

\frac{5.4}{3}=1.8\\\frac{12.6}{7}=1.8\\\frac{21.6}{12}=1.8

Since value of k is constant i.e 1.8 so, y varies directly with x.

Option B Direct variation, y=1.8x is correct option.

b) For the data in the table tell whether Y varies directly with x if it does write an equation for the direct variation.

The direct variation is represented by:

y=kx \,\,or\\\frac{y}{x}=k

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

\frac{1}{-2}=-\frac{1}{2}\\\frac{6}{3}=2\\\frac{11}{8}=1.3

Since value of k is not constant  so, y doesn't varies directly with x.

Option A Not a direct variation is correct option.

Keywords: Direct variation:

Learn more about Direct variation at:

  • brainly.com/question/10708697
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  • brainly.com/question/5069437

#learnwithBrainly

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3 years ago
Harold rented a steam cleaner to clean his carpets. There was a charge for cleaning solution and a daily rental charge for three
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X = (1/2)y + 6
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Substitute (1/2)y + 6 as x into the equation x + y = 21 since x = (1/2)y + 6.
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Same thing, now substitute 10 as y in the other equation.
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