Mr. Gottula can eat two tacos in 8 minutes. Mrs. K can eat three tacos in 15 minutes. (5a) Who eats tacos faster? How do you know? *

(5b) What is the UNIT RATE for Mr. Gottula? (In other words, how many minutes does it take for him to eat one taco?) *

(5c) At this rate, how long would it take Mr. Gottula to eat four tacos? *

(5a) Mr. Gottula eats the tacos faster

(5b) It takes Mr. Gottula 4 minutes to eat 1 taco

(5c) It will take Mr. Gottula 16 minutes to eat 4 tacos

Step-by-step explanation:

(5b) If we know that Mr. Gottula can eat two tacos every 8 minutes, and Mrs. K can eat three tacos in 15 minutes, first we have to find out how many tacos they eat in 1 minute. Finding how much they eat in one minute is mathematically called THE UNIT RATE. So to find the unit rate we have to divide the time it takes Mr. Gottula to eat the tacos by 2.

If Mr. Gottula can eat 2 tacos in eight minutes we have to find how much he can eat in one minute. So we have to divide the time Mr. Gottula took to ate by 2 and we also have to divide the tacos Mr. Gottula ate by 2. So now lets do the math, 8 divided by 2 is 4, and 2 divided by 2 is 1. So we now know the unite rate. Mr. Gottula ate 1 taco in 4 minutes. To find Mrs. k's unit rate we do the same thing, but we have to divide it by 3 since Mrs. k ate 3 tacos in 15 minutes. So we now have to find the unit rate for Mrs. k. Lets now do the math, 15 divided by 3 is 5 and 3 divided by 3 is 1. So now we know the unit rate of Mrs. k, Mrs. k ate 1 taco in 5 minutes. Mr. Gottula eats a taco every 4 minutes, while Mrs. K eats a taco every 5 minutes. So Mr. Gottula is eating faster.

(5c) So next it says "At this rate, how long would it take Mr. Gottula to eat four tacos?" So if we know that Mr. Gottula eats a taco every 4 minutes we just have to find out how many minutes will it take  Mr. Gottula to eat 4 tacos. He eats 1 taco in 4 minutes so we have to multiply the tacos by 4 and we have to also multiply the time by 4 to find out how long it takes  Mr. Gottula to eat 4 tacos. So lets do the math, 4 times 1 is 4 and 4 times 4 is 16 so we now know that  Mr. Gottula eats 4 tacos in 16 minutes.

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step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.