Using the concept of proportional relationship, it is found that the correct options are:
1. B. Second Picture
2. C. Proportional: $50 per month
What is a proportional relationship?
- A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
- In which k is the constant of proportionality.
Item 1:
- This is the second picture which is proportional, as for each term, we have that [tex]\frac{y}{x} = 4[/tex].
- For the other pictures, the ratios of [tex]\frac{y}{x}[/tex] are different for each term, hence they are not proportional.
Item 2:
- For each term, the ratio of dollars/month is of 50, as [tex]\frac{100}{2} = \frac{150}{3} = \frac{250}{5} = \frac{400}{8}[/tex]. Hence, option C is correct.
You can learn more about proportional relationships at https://brainly.com/question/10424180