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A physics student drops a ball from a height of 64 feet into a vacant parking lot. After one bounce, the height of the ball is 48 feet, and after two bounces, the height of the ball is 36 feet.
This situation can be modeled by the following exponential function.
f(x)=64(0.75)^x
Complete the sentences below.
The variable, (___), represents the number of times the ball bounces.
The variable,(___), represents the height of the ball after (___) bounces.
The parameter,64, represents the (___) of the ball.
The parameter,0.75, represents the percentage of (___) left from each previous bounce.
A. Bounces
B. f(x)
C. 36
D. x
E. Initial height
F. Height
A physics student drops a ball from a height of 64 feet into a vacant parking lot. After one bounce, the height of the ball is 48 feet, and after two bounces, the height of the ball is 36 feet.
This situation can be modeled by the following exponential function.
f(x)=64(0.75)^x
Complete the sentences below.
The variable, (___), represents the number of times the ball bounces.
The variable,(___), represents the height of the ball after (___) bounces.
The parameter,64, represents the (___) of the ball.
The parameter,0.75, represents the percentage of (___) left from each previous bounce.
A. Bounces
B. f(x)
C. 36
D. x
E. Initial height
F. Height
1 answer:
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Answer:
s = -24
Step-by-step explanation:
This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.
<h3>Solution</h3><u>Step 1</u>
Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.
<u>Step 2</u>
Multiply both sides by the inverse of the coefficient of the variable.
Often, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.
Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.
You will note this requires the same number of steps, but you don't have to mess with fractions after the first step.
<h3>Check</h3>The value we found for the variable can be checked in the original equation.