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Answer :
Final answer:
The equation for the amount earned, A, by the manuscript translator for translating P pages is A = 50 + 2.50P, where 50 represents the standing fee and 2.50P represents the charge per page.
Explanation:
The manuscript translator's earnings can be represented by a linear equation, which relates the amount earned, A, to the number of pages translated, P. The standing fee is a fixed amount that does not change with the number of pages, so it is considered the y-intercept in the linear equation. The charge per page is the variable component and represents the slope of the equation.
The standing fee is $50, and the charge per page is $2.50. So, for translating P pages, the total amount earned would be the standing fee plus $2.50 multiplied by the total pages translated, P. Therefore, the linear equation is:
A = 50 + 2.50P
This equation states that for every additional page translated, $2.50 is added to the initial fee of $50.
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Answer:
The linear equation is;
A=50+2.5 P
Step-by-step explanation:
The expression for the total amount earned for translating a given number of pages can be expressed as;
A=S+RP
where;
A=amount earned
S=standing fee
R=rate per page
P=number of pages
In our case;
A=unknown
S=$50
R=$2.50
P=unknown
replacing;
A=50+(2.5×P)
A=50+2.5 P
The linear equation for the amount earned is;
A=50+2.5 P
