JOJO QUESTION (SPOILERS FOR PART 5)
2 answers:
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Answer:
D)
Step-by-step explanation:
A linear relationship is of the form , where,
is the slope and
is the y-intercept (constant).
For a proportional relationship, the value of and thus it is of the form
Let us check each option and express it in the form above.
Option A:
This can be written as . So,
.
Since, b \ne 0, therefore, it is not a proportional relationship.
Option B:
Here, . So,
.
Since, b \ne 0, therefore, it is not a proportional relationship.
Option C:
Here, . So,
.
Since, b \ne 0, therefore, it is not a proportional relationship.
Option D:
This can be rewritten as
There is no y-intercept on this. So,
Since,, therefore, it is a proportional relationship.
Therefore, the correct option is D.
The inequality should read:
Subtract 2 from all the terms:
Divide all the terms by -5 to get x by itself (note that you flip the inequality signs as you divide by a negative):
The inequality is 2 ≤ x < 8.
A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.
The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.