1 Find the x- and y-intercept of the line.
x – 6y = 12
(1 point)
x-intercept is 12; y-intercept is –2
x-intercept is –6; y-intercept is 1
x-intercept is –2; y-intercept is 12
x-intercept is 1; y-intercept is –6
2 The grocery store sells dates for $4.00 a pound and pomegranates for $2.75 a pound. Choose
an equation in standard form for the weights of dates d and pomegranates p that a customer
could buy with $12.
(1 point)
4p + 2.75d = 12
4d = 2.75p + 12
4d + 2.75p = 12
4 + 2.75 = d
1) To find the x-intercept, let y be 0 and solve for x:
x - 6(0) = 12
x = 12
Therefore, the x-intercept is 12.
To find the y-intercept, let x be 0 and solve for y:
0 - 6y = 12
y = -2
Therefore, the y-intercept is -2.
The answer is: x-intercept is 12; y-intercept is –2.
2) Let d be the weight of dates and p be the weight of pomegranates. Since the total cost is $12, we can write:
4d + 2.75p = 12
To put this equation in standard form, we can move the variables to the left and the constant to the right:
4d - 12 = -2.75p
2.75p + 4d = 12
Therefore, the equation in standard form for the weights of dates and pomegranates that a customer could buy with $12 is: 2.75p + 4d = 12.