Lydia and her children went into a grocery store where they sell apples for $0.75 each and peaches for $0.50 each. Lydia has $6 to spend and must buy a minimum of 9 apples and peaches altogether. If xx represents the number of apples purchased and yy represents the number of peaches purchased, write and solve a system of inequalities graphically and determine one possible solution.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175