One day jasmine earned $25.20 for 6 hours of work. Another day, she earned $16.80 for 4 hours of work. Which function shows how much jasmine earns (c) for working (h) for hours?

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15-12-2018
Mathematics

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One day jasmine earned $25.20 for 6 hours of work. Another day, she earned $16.80 for 4 hours of work. Which function shows how much jasmine earns (c) for working (h) for hours?

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RenatoMattice RenatoMattice · Answer 1 · 2018-12-24T08:25:20+01:00

Answer: The function shows how much Jasmine earns (c) for working (h) for hours is given by

[tex]c-4.2h=0[/tex]

Step-by-step explanation:

Since we have given that

Amount earned by Jasmine for 6 hours of work = $25.20

Amount earned by Jasmine for 4 hours of work = $16.80

We need to find the function that amount Jasmine earns (c) for working (h) for hours:

We will use the equation of slope of two point form:

[tex]y-y_0=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\here,\\\\c=y\\\\h=x\\\\so,\\\\c-16.80=\frac{25.20-16.80}{6-4}(h-4)\\\\c-16.80=\frac{8.4}2}(h-4)\\\\c-16.80=4.2(h-4)\\\\c-16.80=4.2h-16.8\\\\c-4.2h=0[/tex]

Hence, the function shows how much Jasmine earns (c) for working (h) for hours is given by

[tex]c-4.2h=0[/tex]