Adragonfly can beat its wings 30 times per second. write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the dragonfly beats its wings.

We know that this relationship is linear so we will be using the equation of a line which takes the form y = mx + b where m is the slope and b is the y-intercept.

Our y variable will be the amount of times the dragonfly has beat its wings and the x variable will be the time.

We know that our slope will relate these and it is given that beats its wings 30 times / second. This is good because when we multiply it by seconds, the seconds unit will cancel, leaving us with an amount of beats.

To find b, let's consider how many times the dragonfly has beat its wings at time 0s. When we think about this, we realize that the number is 0 so our y-intercept is also 0.

Thus, the equation of the line is y = 30x

yes

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!