Find the rate of change for the situation. you run 7 miles in one hour and 21 miles in three hours.

7 miles per hour.

Step-by-step explanation:

We have been given that you run 7 miles in one hour and 21 miles in three hours. We are asked to find the rate of change for our given situation.

We will use slope formula to solve our given problem as slope represents rate of change of a function.

, where,

= Difference between two y-coordinates,

= Difference between x-coordinates of same two y-coordinates.

Since number of miles is dependent on number of hours, so number of miles will be our y values and number of hours will be our x values.

Upon substituting coordinates of points (1,7) and (3,21) in slope formula we will get,

Therefore, the rate of change for our given situation is 7 miles per hour.

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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