Answer:
a. No (see below)
b. (see below)
c. Johnny
d. Johnny = $12.50 / hour Doug = $9.16... / hour
e. Doug: extend the table to show how much he gets paid for 1 hour of work (the unit rate)
Johnny: already on the graph
Step-by-step explanation:
a. No. This is because a proportional relationship would have a certain ratio between payment and the amount of time spent working, which would not change. However, if Doug's neighbour pays him $55 for 6 hours, it's likely that this is not a proportional relationship, or we would be able to divide $55 by the 6 hours Doug spent working.
b. Even though above I said that it's probably not a proportional relationship, if it were, we would have to divide everything equally. I'm guessing the table should look like this:
Doug
Time (hr) Earnings ($)
4 $36.66...
5 $45.8333...
6 $55
7 $64.4666....
8 $73.333...
To work out how much Doug would get for working 4 hours:
4/6 x $55 = 2/3 x $55 = $36.66... (so definitely not a proportional relationship)
To work out how much Doug would get for working 5 hours:
5/6 x $55 = $45.8333.... (more evidence that this is not a proportional relationship)
To work out how much Doug would get for working 7 hours (we already got 6 hours):
7/6 x $55 = $64.4666...
To work out how much Doug would get for working 8 hours:
8/6 x $55 = $73.33... (we could double the 4 hour payment, but this is probably more accurate)
c. Johnny is getting paid more. If we look at how much Doug gets for 6 hours, it's $55. If we look out at how much Johnny gets for 6 hours, it's $75. (If we do the same with the other amounts of time, it's the same.
4 hours: D = $36.67 vs J = $50
5 hours: D = $45.83 VS J = $60
etc...
d. Johnny gets $75 per 6 hours --> 75/6 = $12.50 per hour
Doug gets $55 per 6 hours --> 55/6 = $9.1666... per hour
e. Carry on the table for Doug all the way to 1, so you can see the how much Doug gets paid for 1 hour of work (i.e. the minimum).
The unit rate is already on the graph for Johnny.
HOPE THIS HELPED :)
P.S. Mate cld you please give me Brainliest? That table took so much dam work