Question

The coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.

Answer 1

Based on the graph shown below, the total cost of four (4) bookmarks is equal to 60 Cents.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

• y represents the y-variable or total cost​.
• x represents the x-variable or numbers of bookmarks.
• k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 30/2 = 60/4 = 90/6

Constant of proportionality, k = 15.

Therefore, the required linear function for the bookmark cost is given by;

y = kx

y = 15x

When x is 4 bookmarks, the cost of the bookmars in Cents can be calculated as follows;

y = 15(4)

y = 60 Cents.

Complete Question;

The coordinate bridge shows the cost of different numbers of bookmarks. How many cents do for bookmarks cost?

Answer 2

54 cents

Explanation:

The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:

From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points
`(x_1,y_1)\ and\ (x_2,y_2)` is:

`y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_1)\\`

From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:

`y-30=(90-30)/(7-2)(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6`

The cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 54 cents