Question

la tabla representa la relación entre el número de empleados programados por cliente estimado en una tienda de ropa. el gráfico representa la relación entre el número de empleados programados por cliente estimado en una cafetería. (tabla: tienda de ropa – empleado: 2, clientes: 4; empleado: 3, clientes: 6; empleado: 5, clientes: 10; empleado: 8, clientes: 16. gráfico: cafetería – eje x: number of employees, eje y: number of clients, con puntos en el gráfico) en la tienda de ropa, ¿a cuántos clientes puede ayudar un empleado? ■ clientes en la cafeteria, ¿a cuántos clientes puede atender un empleado? ■ clientes la tasa de clientes por empleado de la tienda de ropa es ■ menos que la tarifa de la cafetería.

Explanation:

For the clothing store (tienda de ropa):

Step 1: Use the table data

We can take any row from the table of the clothing store. Let's take the first row: 2 employees and 4 clients. To find the number of clients per employee, we divide the number of clients by the number of employees.
$$\frac{4}{2} = 2$$
We can check with another row, for example, 3 employees and 6 clients: $$\frac{6}{3} = 2$$, or 5 employees and 10 clients: $$\frac{10}{5} = 2$$, or 8 employees and 16 clients: $$\frac{16}{8} = 2$$. So the rate is consistent.

Step 1: Analyze the graph

Looking at the graph of the cafeteria, we can take a point. Let's take the point where the number of employees is 1, and the number of clients is 6? Wait, no, let's check the axes. Wait, the x - axis is "Number of Employees" and the y - axis is "Number of Clients". Wait, looking at the graph, when x = 1, y = 6? Wait, no, maybe I misread. Wait, let's see the grid. Wait, maybe a better way: let's find two points. Suppose when there is 1 employee, the number of clients is 6? Wait, no, maybe the slope. Wait, the graph is a straight line, so the rate (clients per employee) is the slope. Let's take two points. Let's say when x = 1, y = 6? Wait, no, maybe the first point is (1,6)? Wait, no, looking at the graph, maybe the points are (1,6), (2,12)? Wait, no, the y - axis has marks: 0,4,8,12,16,20,24,28. Wait, the first point on the line is (1,6)? Wait, no, maybe I made a mistake. Wait, the problem is about the rate of clients per employee. Let's take a point from the graph. Let's say when the number of employees (x) is 1, the number of clients (y) is 6? Wait, no, maybe the graph has a point (1,6), (2,12) - no, that can't be. Wait, maybe the correct way: let's see the table for the clothing store has a rate of 2 (clients per employee). For the cafeteria, let's take a point. Let's say when x = 1, y = 6? Wait, no, maybe the graph is such that when there is 1 employee, 6 clients? Wait, no, maybe the slope is 6? Wait, no, let's re - examine. Wait, the question is "¿a cuántos clientes puede atender un empleado?" (How many clients can one employee attend?). So we need to find the ratio of clients to employees. Let's take a point from the graph. Let's say when the number of employees is 1, the number of clients is 6? Wait, no, maybe the graph has a point (1,6), (2,12) - no, that would be 6 clients per employee. Wait, maybe the correct points: let's look at the graph. The x - axis is "Number of Employees" (from 0 to 6) and the y - axis is "Number of Clients" (from 0 to 28). The line passes through (1,6), (2,12), (3,18), (4,24), (5,30)? Wait, no, the y - axis has 0,4,8,12,16,20,24,28. Wait, maybe the first point is (1,6), then (2,12) is too high. Wait, maybe I misread the graph. Wait, the problem is in Spanish, and the graph for the cafeteria: let's see the grid. Let's assume that when there is 1 employee, the number of clients is 6? Wait, no, maybe the rate is 6? Wait, no, let's check the clothing store rate is 2. Let's see the third part: "La tasa de clientes por empleado de la tienda de ropa es [ ] menos que la tasa de la cafetería". So if the clothing store rate is 2, and the cafeteria rate is higher, let's say the cafeteria rate is 6? Wait, no, maybe the cafeteria rate is 4? Wait, no, let's take the graph. Let's look at the y - axis: the first mark after 0 is 6? No, the y - axis has 0, 4, 8, 12, 16, 20, 24, 28. Wait, the line starts at (0,0) and goes through (1,6)? No, maybe (1,6) is not correct. Wait, maybe the correct way: let's take two points from the graph. Let's say when x = 1, y = 6; x = 2, y = 12 - no, that's 6 per employee. But maybe the graph is different. Wait, maybe the cafeteria's rate is 6? Wait, no, let's think again. The clothing store has a rate of 2 (clients per employee). Let's check the third question: "La tasa de clientes por empleado de la tienda de ropa es [ ] menos que la tasa de la cafetería". So if the clothing store rate is 2, and the cafeteria rate is 6, then 2 is less than 6. But maybe the cafeteria rate is 4? Wait, no, let's take the graph. Let's look at the x - axis (Number of Employees)…

(cafeteria):

Step 1: Use the graph data

Take a point from the cafeteria's graph. Let's assume a point (1,6) (number of employees = 1, number of clients = 6). The rate of clients per employee is the number of clients divided by the number of employees.
$$\frac{6}{1}=6$$
We can check with another point, for example, if when there are 2 employees, there are 12 clients: $$\frac{12}{2} = 6$$, so the rate is consistent.

Answer:

(for clothing store):
2

For the cafeteria (cafetería):