Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. there are 2 sizes, 4 colors, 7 phrases, and 4 pictures for her to choose from. (the printing company charges a fee to add extra design elements, so she will choose only one of each.) how many different card designs are possible?

The different card designs possible are:

224

Step-by-step explanation:

It is given that:

There are 2 sizes, 4 colors, 7 phrases, and 4 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)

As she has to choose one from each given item this means she will use a combination to choose the item.

We know that the combination for r choices out of total n choices is given as:

Hence, the total combinations made are given as:

Hence,  the different card designs that are possible are:

224

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.