Respuesta :
so since the first point (0,30) has an x intercept of 0 and a y intercept of 30
We can immediately eliminate any that do not have an y intercept of 30
So choices a and b are automatically incorrect
and now to solve for slope we do (y2-y1)/(x2-x1)
so we can choose any two points so I'll use points (0,30) and (1,33)
so 33-30=3
and 1-0=1
so we then do rise(y) over run (x)
and we now know our unit rate is 3x
so your answer is D
We can immediately eliminate any that do not have an y intercept of 30
So choices a and b are automatically incorrect
and now to solve for slope we do (y2-y1)/(x2-x1)
so we can choose any two points so I'll use points (0,30) and (1,33)
so 33-30=3
and 1-0=1
so we then do rise(y) over run (x)
and we now know our unit rate is 3x
so your answer is D
The equation that best shows the relationship between x and y is y=3x+30
How to elaborate the informations of the problem ?
Emily sells ice cream bars at the beach & get a fixed salary.
She also earns commission for each ice cream bar she sells.
The table in the question shows that Emily's total earning is y (dollars), from selling x bars of ice cream.
In the 1st column of the table,
Number of bars sold(x)=0
& Total earnings (dollars) (y)=30
So, from it, we can understand that without selling any ice cream bar, her earning is $30, i.e. Her fixed salary is $30
Now, in the 2nd column of the table,
Number of bars sold(x)=1
& Total earnings (dollars) (y)=33
∴ Commission from 1 ice cream bar = $33-$30=$3
Now, in the 3rd column of the table,
Number of bars sold(x)=2
& Total earnings (dollars) (y)=36
∴ Commission from 2 ice cream bar = $36-$30=$6=2×$3
Now, in the 4th column of the table,
Number of bars sold(x)=3
& Total earnings (dollars) (y)=39
∴ Commission from 3 ice cream bar = $39-$30=$9=3×$3
How to establish the equation between x & y ?
We can see that, the unit rate of ice cream bar is 3x (dollars) , i.e. her commission depends on how many bars sold.
& her fixed salary is $30.
∴ The equation that shows her total earning (dollars) (y) with respect to the number of bars sold (x) is, y=3x+30
Hence, the 4th option is correct.
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