Question

We are having so much trouble helping my child with this. Can you help

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

baker:

40 cookies (c) every hour (h)

Step 02:

independent and dependent variables:

40 cookies / hour

independent variable: hour (h)

dependent variable: cookies (c)

1. sentence:

The independent variable can have any value that we assign to it. Instead, the dependent variable depends on the value we chose for the independent variable.

2. hours (280 cookies):

`280\text{ cookies }\cdot\text{ }\frac{1\text{ hour}}{40\text{ cookies}}\text{ = }7\text{ hours}`

7 hours

3. cookies (12.5 hours):

`12.5\text{ hours }\cdot\text{ }\frac{40\text{ cookies}}{1\text{ hour }}=500\text{ cookies}`

500 cookies

4. Ordered pair (5, 200)

5 ===> 5 hours

200 ===> 200 cookies

Table and graph:

Process (This is how the values of "y" are calculated):

y = 40 * x = 40x

y1 = 40 * 1 = 40

y2 = 40 * 2 = 80

y3 = 40 * 3 = 120

y4 = 40 * 4 = 160

y5 = 40 * 5 = 200

y6 = 40 * 6 = 240

y7 = 40 * 7 = 280

y8 = 40 * 8 = 320

y9 = 40 * 9 = 360

That is the full solution.