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Interpret parts of the algebraic expression to describe the real-world scenario.

Interpret parts of the algebraic expression to describe the real-world scenario.-example-1
User Xhinking
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Answer:

Given equation is, (Dollar value of a sandwich shop of a tip jar)


0.65h+1.25

h is the number of hours since the shop opened.

a) To find the value where the tip jar increasing per hour.

we know that,

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. That gives the value of the rate of y with respect to x.

The equation of a line with slope and intercept is,

y=mx+c

where m is the slope.

The increasing value of a tip jar per hour is the slope of the given equation.

The slope of the ginen equation is,


0.65

we get,

$0.65 is value of the tip jar increasing per hour

Answer is: $0.65 is value of the tip jar increasing per hour.

b) To find the initial value of the tip jar when the shop opens.

Given equation is, (Dollar value of a sandwich shop of a tip jar)


0.65h+1.25

h is the number of hours since the shop opened.

When the shop opens, we get that h=0

Substitute h=0 in the given equation we get,


1.25

Therefore, the initial value of the tip jar when the shop opens is $1.25.

Answer is: Therefore, the initial value of the tip jar when the shop opens is $1.25.

User Alessandro Cuttin
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