1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
1 answer:
You might be interested in
Answer:
Part a) (see the explanation)
Part b) see the explanation
Part c) The graph in the attached figure
Step-by-step explanation:
<u><em>The complete question is</em></u>
With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.
Part A) Use words and an equation to represent this problem
Let
a ----> the total amount of money spent on bowling in a year
g ---> the number of games a family plays in a year
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the a-intercept or initial value
In this problem we have
substitute
Part b) Create a table to show values for g and a
Assume different values of g and calculate the corresponding values of a
For g=0 ---->
For g=1 ---->
For g=2 ---->
For g=3 ---->
For g=4 ---->
The table is
Part c) Use the values from your table to draw a graph
we have the ordered pairs
Plot the ordered pairs and join them to graph the line
The graph in the attached figure
Answer:
My sister will swing the total distance = 40 feet
Step-by-step explanation:
On the first swing my sister travels a distance of 8 feet.
In every successive swing she travels 80% of the distance of the previous distance.
So the sequence formed by the distance traveled in every swing will be a geometric sequence.
First term of the sequence 'a' = 8 feet
common ratio 'r' = 0.80
Since this sequence is an infinite geometric sequence,
Sum of this sequence = [Since r < 1]
=
=
= 40 feet
Therefore, my sister will cover the total distance = 40 feet