since Joe catches for fish today Melissa sketches to fish the amount of Joe's Fish is always greater Joe's Fish is also always t
wice as much as melissa's fish. Today , both melissa and joe have no fish. They both go fishing each day. Melisa catches 2 fish each day. Joe catches 4 fish each day. How many fish do they have after each of the five days? Make a graph of the number of fish. Plot the points on a coordinate plane and make a line graph, and then interpret the graph
1 answer:
The first thing you should do for this case is a function that suits the context of the problem.
Let:
x: number of days.
y: number of fish trapped by melissa and Joe.
The generic equation of the line is:
y = mx + b
Melisa catches 2 fish each day. Joe catches 4 fish each day. So:
m = 6
Today, both melissa and joe have no fish. So:
b = 0
In this case we have:
y = 6x
Looking at the graph we see that by day five, both have 30 fish.
answer
f (x) = 6x
f (5) = 30
Let:
x: number of days.
y: number of fish trapped by melissa and Joe.
The generic equation of the line is:
y = mx + b
Melisa catches 2 fish each day. Joe catches 4 fish each day. So:
m = 6
Today, both melissa and joe have no fish. So:
b = 0
In this case we have:
y = 6x
Looking at the graph we see that by day five, both have 30 fish.
answer
f (x) = 6x
f (5) = 30
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a) where "
" stands for the number of miles driven.
b) He can drive as far as 250 miles to keep the rental cost limited to $140.
Step-by-step explanation:
a) Robert wants to make sure that the addition of the costs coming from the car rental per week ($91) plus the amount paid for the coverage of "x" number of miles (which goes as $0.14 times x) does not exceed $140 (which is the same as saying that this total cost must be smaller than or equal to $140.
In math terms, such is written as:
where "x" stands for the number of miles driven.
b) the total number of miles (x) he is allowed to cover given the $140 restriction is obtained by solving for "x" (the number of driven miles) in the inequality of part a):
which tells us that the number of driven miles (x) has to be smaller or equal to 350 miles. Then he can drive as far as 250 miles to keep the rental cost limited to $140.