Mohammad would like to graph the line that represents the total number of baseball cards he will have collected, t, after m months, given that he buys 5 cards each month and he started with no cards. he would like the graph to show the number of cards after 6 and 12 months. select from the drop-down menus to correctly complete each statement. to best show this information, the scale for the t-axis of his graph should go from 0 to at least , and the m-axis of his graph should go from 0 to at least .

Solution:

Number of Baseball cards bought by Mohammad each month = 5

As number of baseball cards is represented by T , which are

T = 0,5,10,15,20,25,30,35,40,45,50,55,60   →→  Y axis

Number of months(m) from which Mohammad started buying cards is given as

m = 0,1,2,3,4,5,6,7,8,9,10,11,12   →→     X axis

The given information represented in equation form

T = 5 m

This is a equation of line in two variable passing through origin.

Slope of line = 5 =Amount of baseball card bought each month

Number of cards bought after 6 months = 5 × 6=30

Number of cards bought after 12 months = 5 ×12 =60

Graph is depicted below.

The scale for the T-axis of his graph should go from 0 to at least 60 , and the m-axis of his graph should go from 0 to at least 12 .

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,