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Mathematics 22 Online
Neyasmith:

Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?

jhonyy9:

where is this table ? please post it

Tranquility:

Here is the table

1 attachment
Tranquility:

Look at the table. Do you notice any pattern? As you increase the number of snapdragons, what happens to the number of daisies? To find the equation, first find the slope. The 'x' values are the number of snapdragons and 'y' values are number of daisies. This is given in the table. \(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\) Where the two points are in the form: \(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\) y = mx + b m is the slope Replace m with the slope you calculated To find b, which is the y-intercept, plug in one of the points on the table. It doesn't matter which point, any point will get you the same b value. To find how many snapdragons he will plant when he plants 29 daisies, you can either plug in 29 in place of y (since y is number of daisies) or you can see the pattern in the table and figure it out relatively easily Let me know if you have any questions!

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