a. She pays $100 for 5 sheets
b. 25+15x dollars for x sheets
c. 8 sheets
Step-by-step explanation:
Given
Sitting cost = $25
Per sheet picture cost = $15
Let p be the number of sheets of pictures
Then the cost can be written as a function of p
[tex]c(p) = 25+15p[/tex]
Now,
a. How much does she pay for 5 sheets of pictures?!
Putting p = 5 in the function
[tex]c(5) = 25 + 15(5)\\= 25+75\\=100[/tex]
She will pay $100 for 5 sheets of pictures
b. How much does she pay for "x" sheets?
Putting x in place of p
[tex]c(x) = 25+15x[/tex]
c. How many sheets can she buy for $145?
We know the cost now, we have to find p so,
[tex]145 = 25+15p\\145-25 = 25+15p-25\\120 = 15p[/tex]
Dividing both sides by 15
[tex]\frac{15p}{15} = \frac{120}{15}\\p = 8[/tex]
Hence,
She can buy 8 sheets for $145
Keywords: Linear equation, Algebraic functions
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