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Jagrit is looking at two computer repair stores.


Store 1: Data-Fix

The total cost charged by Data-Fix is represented by the graph

as shown.

a) Write an equation to model the relation of total cost, C, and

number of hours, n as shown in the graph.

b) One of the points on the graph is (3, 60). Explain the

meaning of this point, in the context of this scenario.


Store 2: Comput-Repair

It charges a fixed cost of $10 plus $15 per hour for repair

services.

c) Write an equation to model the relation of total cost, C, and

number of hours, n, in Comput-Repair.

d) On the grid provided, graph the line that describes the fee structure for Compu-Repair.

e) What are the coordinates of the point of intersection?

f) What does it mean in this scenario?

g) Based on the point of intersection, how would you advise Jagrit when trying to choose between the two

computer repair stores? Fully explain your answer supported by the information from the graph.
PLEASE I DON'T HAVE TIME

Respuesta :

MrRoyal

See below for the solution of each question

The equation of the model

The points are given as:

(3,60) and (5, 80)

The equation is calculated as:

[tex]C(n) = \frac{C_2 -C_1}{n_2 -n_1} * (n - n_1) + C_1[/tex]

This gives

[tex]C(n) = \frac{80- 60}{5-3} * (n - 3) + 60[/tex]

Evaluate the quotient

C(n) = 10 * (n - 3) + 60

Expand

C(n) = 10n - 30 + 60

Evaluate

C(n) = 10n + 30

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10n + 30

Explain the points on (3, 60)

The point (3, 60) means he paid $60 for 3 hours

The equation of the model for Comput-Repair

Here, we have:
Fixed = $10

Hourly rate = $15

The equation is calculated as:

C(n) = Fixed + Rate * Number of hours

This gives

C(n) = 10 + 15n

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10 + 15n

The graph of the fee structure for Compu-Repair

The equation is represented as:

C(n) = 10 + 15n

See attachment for the graph

The coordinates of the point of intersection

This is the point where the two lines intersect.

From the graph, we have the point of intersection to be:

(n, C(n)) = (4, 70)

The meaning in this scenario

This means that the charges for Comput-Repair and Data-Fix are the same after 4 hours

Advice Jargit

Based on the point of intersection, it is best that Jargit uses Compu-Repair because they have a lesser hourly rate

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

Ver imagen MrRoyal

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