Stephanie starts out on run covering 100 m in 10 minutes. She then accelerates to a speed of 15 m/min in 10 seconds. What is her acceleration?

30 m/min²   (= 0.0833 m/s²)

Step-by-step explanation:

Initially,

Distance ran = 100 m

Time taken = 10 min

Average speed = Distance ran ÷ Time taken

= 100 ÷ 10

= 10 m/min

Hence here initial speed = 10 m/min

Given that her final speed was 15 m/min

her change in speed = 15 - 10 = 5 m / min

We are also given that  this change in speed  took 10 seconds = 1/6 min

Recall that by definition, acieration = rate of change of speed

= change in speed ÷ time taken for change

= 5 m/min ÷ (1/6) min

= 30 m/min²   (= 0.0833 m/s²)

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

answerthe vertex form

step-by-step explanation: