each saturday, tina mows lawns to earn extra money which she puts into a savings account. the graph shows the balance of tina’s savings accounts over the first six weeks of mowing lawns. according to this pattern, how much will tina have in her account after 15 weeks of mowing lawns?

$255

Step-by-step explanation:

First, we need to generate an equation in slope-intercept form, y = mx + b, that represents the graph. To do this, we need to find b = initial value (y-intercept) and m = slope (money she puts in her account each week).

x = number of weeks

y = balance ($)

✔️Slope (m) = change in y/change in x

Using two points on the line, (1, 45) and (2, 60),

Slope (m) = (60 - 45)/(2 - 1) = 15/1

m = 15

✔️To find b, substitute (x, y) = (1, 45) and m = 15 into y = mx + b.

45 = 15(1) + b

45 = 15 + b

45 - 15 = b

30 = b

b = 30.

✔️To write the equation, substitute m = 15 and b = 30 into y = mx + b

y = 15x + 30

✔️To determine how much Tina will have in her account (y) after 15 weeks (x) of mowing, substitute x = 15 into y = 15x + 30:

y = 15(15) + 30

y = 225 + 30

y = 2

Therefore, Tina will have $255 in her accounts after 15 weeks of mowing lawns.

mental cunning

explanation:

he is often referred to as a man of twists and turns

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.