Lesson 27 QUIZ Solve the problems.
Al practices the standing long jump. He records the distance, in feet,
of each of his jumps. His results are shown on the line plot below.
Use this line plot to answer questions 1 - 3.
Standing Long Jump Distances
X
X
х
X
X
X
х
X
х
+
+
6
5
530
in
51 53
Distance (feet)
1 What scale did Al use to make his line plot?
Write your answer in the blank.
Al used a scale of
ut
foot.
2 Find the jump length that Al made most often.
What is the total distance of the jumps of this length?
® 124 feet
® 16-feet
®
© 17 feet
© 182 feet
16.11

the answer to the expression is 83

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.