Question

* Jenny marked on a coordinate plane all points with the first coordinate an integer between −12 and 7 and the second coordinate an integer between −12 and 12. How many points did she mark?

Answer 1

Jenny marks 414 different points on the coordinate plane.

Explanation:

A point on a coordinate plane is represented by (x, y)

The possible values of x include all the integers between -12 and 7; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6.

The possible values of y include all the integers between -12 and 12; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.

This means that each x-value can take on each y-value.

There are 18 x-values and 23 y-values.

Each x-value can form 23 different coordinates with all the available y-values.

18 x-values will form 18 × 23 different coordinates with the all the available y-values.

The total number of points that Jenny marks = 18 × 23 = 414.

Hope this Helps!!!