Maxine works at an amusement park. she recorded the number of ice cream cones sold each day, along with the high temperature in fahrenheit degrees. usinger her data, she wrote a linear regression equation of y=9x-487. if the temperature, or, x, is 85f how many ice cream cones could maxine expect to sell?

278

Step-by-step explanation:

y = 9(85)-487

y = 765-487

y = 278

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: