Question
Choose the equation that matches with the table.
The following table shows how long a student took to answer a different number of questions on a math test.
- x = 2y
- y = 2x
- y = x + 5
- x = y
Hint:
An equation represents the relationship between 2 coordinates viz. x & y.
To find the equation that matches the coordinates given in the table, we use 2 point formula of a line i.e.-
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
The correct answer is: y = 2x
GIVEN-
x1 = 0, y1 = 0, x2 = 5, y2 = 10, x3 = 10, y3 = 20, x4 = 20, y4 = 40, x5 = 30, y5 = 60
TO FIND-
Equation that matches the given coordinates
SOLUTION-
we observe that (0,0) and (5,10) are 2 points on the given line.
Hence, we use 2 point formula of a line to find its equation.
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
∴ (y-0)/ (x-0) = (10-0)/ (5-0)
∴ (y-0)/ (x-0) = 10/5
∴ (y-0)/ (x-0) = 2/1 ...................................... (Dividing numerator & denominator by 5)
∴ 1 (y-0) = 2 (x-0) ...................... (Cross multiplying)
∴ y - 0 = 2x - 0
∴ y = 2x
FINAL ANSWER-
Option 'b' i.e. 'y = 2x' is the correct answer to the given question.
Related Questions to study
Translate the following phrase into inequality: Tom can spend no more than 20 dollars on his mom's birthday present.
Translate the following phrase into inequality: Tom can spend no more than 20 dollars on his mom's birthday present.
Pick the correct letter for:
x ≤ 7
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x ≤ 7
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Identify the label for the independent variable.
Match the graph with its inequality.
Since portion for -4 is hollow i.e. not shaded, -4 is not included in the inequation. i.e. -4 is not a solution to the given inequality.
Hence, we take x < -4 and not x <= -4.
Match the graph with its inequality.
Since portion for -4 is hollow i.e. not shaded, -4 is not included in the inequation. i.e. -4 is not a solution to the given inequality.
Hence, we take x < -4 and not x <= -4.
Javier and his twin sister both have the same science exam. Javier sleeps for 9 hours the night before the exam, and his sister sleeps for 6 hours. After they take the test, they both compare their test grades. Choose the independent variable.
Javier and his twin sister both have the same science exam. Javier sleeps for 9 hours the night before the exam, and his sister sleeps for 6 hours. After they take the test, they both compare their test grades. Choose the independent variable.
The symbol ≥ represents _____________
The symbol ≥ represents _____________
Match the graph with its inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
Match the graph with its inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
Match the graph with its inequality.
Since portion for 11 is shaded on the number line, 11 is included in the inequation. i.e. 11 is a solution to the given inequality.
Hence, we take 11 <= a and not 11 < a.
Match the graph with its inequality.
Since portion for 11 is shaded on the number line, 11 is included in the inequation. i.e. 11 is a solution to the given inequality.
Hence, we take 11 <= a and not 11 < a.
Match the graph with its inequality.
Since portion for -2 is hollow i.e. not shaded, -2 is not included in the inequation. i.e. -2 is not a solution to the given inequality.
Hence, we take x < -2 and not x <= -2.
Match the graph with its inequality.
Since portion for -2 is hollow i.e. not shaded, -2 is not included in the inequation. i.e. -2 is not a solution to the given inequality.
Hence, we take x < -2 and not x <= -2.
Identify the inequality statement for the following,
A person’s height, h, must be at least 48 inches tall to go on this ride.
Identify the inequality statement for the following,
A person’s height, h, must be at least 48 inches tall to go on this ride.
The following number line graph represents ________________ inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
The following number line graph represents ________________ inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
