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?

Equation models the scenario.

Hans will plant 16 snapdragons.

Step-by-step explanation:

From the given table , it can be seen that the number of snapdragons and daisies are inversely proportional because as number of snapdragons is increasing the number of daisies is decreasing.

Also, there is constant change in y with respect to change in  x.

For every one unit increase in snapdragons (x), there is one unit decrease in number of daises (y) .

Slope of function =   (1)

Thus, the equation models the scenario must be linear.

The linear equation is given by :-

, where a= slope (rate of change )

b= y-intercept or initial value for y.

Substitute a=-1  (from (1)), x=11 and y = 34 (from table) , we get

Put a= -1 and b= 45 in (1)

⇒ Equation models the scenario:

            (2)

Put y= 29  in (2), we get

Hence, he will plant 16 snapdragons.

answer: about 22.67

step-by-step explanation: