27. Landscape Architect A landscape architect charges $100 for an initial consultation and then charges $85 an hour to design the landscaping for an area. The total cost C (in dollars) is given by the equation C = 100 + 85t where t is the time (in hours) the architect works on the design. a. Graph the equation. C= 100+8St b. Suppose the architect raises the fee for the initial consultation to $125 so that the total cost of a design that takes t hours to create is given by the equation C = 125 + 85t. Graph the equation on the same coordinate plane as the equation in part (a).
27. Landscape Architect A landscape architect charges $100 for an initial consultation and then charges $85 an hour to design the landscaping for an area. The total cost C (in dollars) is given by the equation C = 100 + 85t where t is the time (in hours) the architect works on the design. a. Graph the equation. C= 100+8St b. Suppose the architect raises the fee for the initial consultation to $125 so that the total cost of a design that takes t hours to create is given by the equation C = 125 + 85t. Graph the equation on the same coordinate plane as the equation in part (a).
Transcribed Image Text:Fee (dollars)
Cost (dollars)
27. Landscape Architect A landscape architect charges $100 for
an initial consultation and then charges $85 an hour to design
the landscaping for an area. The total cost C (in dollars) is given
by the equation C= 100 + 85t where t is the time (in hours)
the architect works on the design.
700
600
500
400
300
a. Graph the equation.
C= 100+8St
200
100
b. Suppose the architect raises the fee for the initial consultation
to $125 so that the total cost of a design that takes t hours to
create is given by the equation C = 125 + 85t. Graph the
equation on the same coordinate plane as the equation in part (a).
0 1 2 3 4 5 6 7 t
Time (hours)
c. How much more does it cost for a design if it takes the architect
Thours to create the design?
28. Drum Lessons You are taking drum lessons at a studio. Last year,
the studio charged $10 per lesson. This year, the studio raised its
rates and charges $12 per lesson. The total fee f (in dollars) for
taking lessons last year is given by the equation f= 10l where l is
the number of lessons you took. The total fee this year is given by
the equation f = 12l. Graph the equations in the same coordinate
plane. Use the graphs to find the difference between the fees a
person could be charged for taking 48 lessons.
640
560
480
400
320
240
160
80
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