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 + 2.75р = 12
• 4 + 2.75 = d

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

1 answer

To solve for the weights of dates and pomegranates that a customer could buy with $12, we need to set up an equation. Since dates cost $4.00 per pound and pomegranates cost $2.75 per pound, we can write the equation as:

4d + 2.75p = 12

Therefore, the correct equation in standard form is:
4d + 2.75p = 12

As for the x- and y-intercept of the line x - 6y = 12, first let's find the x-intercept where y = 0:

x - 6(0) = 12
x = 12

So, the x-intercept is 12.

Then, let's find the y-intercept where x = 0:

0 - 6y = 12
-6y = 12
y = -2

So, the y-intercept is -2.

Therefore, the x-intercept is 12 and the y-intercept is -2.