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a babysitter makes $7.50 per hour. is the relationship proportional? why or why not?

Yes, the relationship is proportional.

Step-by-step explanation:

The definition of a proportional relationship is when the ratios are constant. (It remains the same)

So, for every hour the babysitter makes 7.50, making the ratio of $/h 7.50/1.

For 2 hours, the ratio fo $/h would be 15/2.

15/2 simplifies to 7.50/1, so the ratio would be the same.

Therefore, the relationship is proportional.

Another easier way to find a proportional relationship is if there's no addition of subtraction in the equation. (If the babysitter starts off with a base rate then gets extra money every hour, it's not proportional).

Example: A babysitter is paid $5, then gets $2 for every hour.

The ratios of $/h would be 7/1 and 9/2, which aren't the same, making that not proportional.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

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