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A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y), in dollars, of different number of bottles of oil (x): Brand A Number of Bottles, x Price (dollars), y 2 26 3 39 4 52 5 65 Brand B y = 16x How many dollars more is the price of 7 bottles of brand B oil than the price of 7 bottles of brand A oil? $3 $10 $21 $29 my answer keeps coming out to 34

Respuesta :

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Brand A is y=13x
For x=7, brand B minus A is 16*7-13*7 = 21

How did you get 34?

Answer:

The correct option is 3. The the of 7 bottles of brand B oil is $21 more than the price of 7 bottles of brand A oil.

Step-by-step explanation:

If a line passing through two points, then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the given table it is clear that the graph of price of brand A oil is passing through (2,26) and (3,39). So, the equation model for price of brand A oil is

[tex]y-26=\frac{39-26}{3-2}(x-2)[/tex]

[tex]y-26=13(x-2)[/tex]

[tex]y-26=13x-26[/tex]

[tex]y=13x[/tex]

The required model for price of brand A oil is y =13x.

The price of 7 bottles of brand A is

[tex]y=13(7)=91[/tex]

The required model for price of brand B oil is y =16x.

The price of 7 bottles of brand B is

[tex]y=16(7)=112[/tex]

The difference between price of 7 bottles of brand A and brand B is

[tex]112-91=21[/tex]

The the of 7 bottles of brand B oil is $21 more than the price of 7 bottles of brand A oil. Therefore the correct option is 3.

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