Mathematics, 01.12.2019 17:31 simrankaurdhatt
In this investigation, you will be solving and interpreting several rate problems. be sure to show your calculations.
problem #1:
look at the following graph of carl’s travel time and distance:
what is carl’s constant rate of speed (in miles per hour)?
how many miles will carl have traveled after 2 hours?
problem #2:
look at the following equation:
–4x + y = 10
what is the slope of this line?
what is the value of y when x = 3?
problem #3:
what is the rate (in dollars per ticket)?
how much money will the theater earn if it sells 150 tickets?
problem #4:
karen is trying to choose a cell phone plan. company j charges a subscription fee of $30 per month plus $1 per hour of use. company k charges no monthly fee, but charges $2 for every hour of use.
karen made the following graph to compare the prices of the two plans:
the lines for company j and company k cross at a point. the coordinate (30, 60) is the point at which company j and company k cost the same.
what does the point (30, 60) mean? (hint: what is being graphed on the x-axis? what is being graphed on the y-axis? )
if karen uses her cell phone for less than 30 hours a month, which company should karen choose? why?
if karen uses her cell phone for more than 30 hours a month, which company should karen choose? why?
Answers: 2
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