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? (5 points)
$3
$10
$21
$29
I NEED HELP ASAP PLEASE
Price brand A is
13 x
because:
26 = 13 ∙ 2
39 = 13 ∙ 3
52 = 13 ∙ 4
63 = 13 ∙ 5
Difference of price brand B and price brand A:
Δ = 16 x - 13 x
Δ = 3 x
For x = 7
Δ = 3 ∙ 7 = 21
My make one typo.
65 = 13 ∙ 5
To find the price difference between 7 bottles of Brand B and 7 bottles of Brand A, we need to calculate the price of each and then subtract.
For Brand A, we have the following data:
Number of Bottles, x: {2, 3, 4, 5}
Price (dollars), y: {26, 39, 52, 65}
To find the equation that represents the relationship between x and y, we can use the equation of a straight line:
y = mx + b
Using the given data, we can find the slope (m) and the y-intercept (b) for Brand A.
Using points (2,26) and (3,39) to find the slope (m):
m = (y2 - y1) / (x2 - x1)
= (39 - 26) / (3 - 2)
= 13 / 1
= 13
Now we can use the slope-intercept form of a line (y = mx + b) to find the y-intercept (b) using the point (2,26):
26 = 13(2) + b
26 = 26 + b
b = 26 - 26
b = 0
Therefore, the equation for Brand A is y = 13x.
For Brand B, the equation is already given as y = 16x.
Now let's calculate the price of 7 bottles for both brands and find the price difference.
For Brand A:
y = 13x
y = 13(7)
y = 91
For Brand B:
y = 16x
y = 16(7)
y = 112
To find the price difference, we subtract the price of 7 bottles of Brand A from the price of 7 bottles of Brand B:
112 - 91 = 21
Therefore, the price of 7 bottles of Brand B oil is $21 more than the price of 7 bottles of Brand A oil. The answer is $21.
To find the price of 7 bottles of brand A oil, we need to look at the given table. According to the table, the price of 1 bottle of brand A oil is $13 (since 2 bottles cost $26). Therefore, the price of 7 bottles of brand A oil would be 7 times the price of 1 bottle, which is $13 x 7 = $91.
To find the price of 7 bottles of brand B oil, we can use the equation given for brand B: y = 16x. Substituting x = 7, we get y = 16 x 7 = $112.
Now, to find how many dollars more is the price of 7 bottles of brand B oil than the price of 7 bottles of brand A oil, we subtract the price of brand A oil from the price of brand B oil: $112 - $91 = $21.
Therefore, the price of 7 bottles of brand B oil is $21 more than the price of 7 bottles of brand A oil.
So the correct answer is $21.