Suppose Clare went to the store to get almonds and dried figs and spent $108. If almonds cost $6 a pound and dried figs cost $9 a pound, Clare's purchase can be represented by the equation 6 + 9 = 108. Here are two graphs that could represent the relationship between pounds of almonds, x, and pounds of figs, y:

What is the x-intercept of the equation and what does the x-intercept mean in this situation?

What is the y-intercept of the equation and what does the y-intercept mean in this situation?

2

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

she drove 134 miles

step-by-step explanation: