You can ride your bike around your block 10 times and the whole neighborhood once in 24 minutes. you can ride you bike around your block 5 times and the whole neighborhood 2 times in 18 minutes. how long does it take you to ride around the neighborhood

4 minutes

Set up 2 equations and solve

let b represent time taken to ride around block and

let n represent time taken to ride around neighbourhood, then

10b + n = 24 → (1)

5b + 2n = 18 → (2)

multiply (1) by - 2

- 20b - 2n = - 48 → (3)

add (2) and (3) term by term to eliminate n

- 15b = - 30 ( divide both sides by - 15 )

b = 2

substitute b = 2 into (1) and solve for n

20 + n = 24 ( subtract 20 from both sides )

n = 4

Thus it takes 4 minutes to ride around the neighbourhood

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold