Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect
to xxx is \,\dfrac{4}{3} 3 4 start fraction, 4, divided by, 3, end fraction . In other words, a change of 111 unit in xxx corresponds to a change of \,\dfrac{4}{3} 3 4 start fraction, 4, divided by, 3, end fraction units in yyy. Graph the line and write the equation of the line. The equation is .
2 answers:
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m or unit rate of the line and the line passes through the origin
so
In this problem we have
substitute
using a graphing tool
The graph in the attached figure
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Answer: 2/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.
Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.
So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.
Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.
