Galvin and henry spend a certain amount of money from their money box each month to buy plants. the table shows the relationship between the amount of money (y) remaining in galvin's money box and the number of months (x):

number of months
(x)

amount remaining (dollars)
(y)

1

80

2

75

3

70

4

65

the equation shows the relationship between the amount of money, y, remaining in henry's money box and the number of months, x:

function 2:
y = −7x + 80

which statement explains which function shows a greater rate of change?
function 2 shows a greater rate of change, because henry spends $7 each month and galvin spends $5 each month.
function 2 shows a greater rate of change, because henry spends $80 each month and galvin spends $15 each month.
function 1 shows a greater rate of change, because galvin spends $15 each month and henry spends $73 each month.
function 1 shows a greater rate of change, because galvin spends $5 each month and henry spends –$7 each month.

If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.