Linear functions can represent both Carla and
Hours 1 2 3 4
arrish's lawn-mowing rates. Carla's lawn mowing
ates are represented by the equation y=9.5x + 15. Cost 22 34 46 58 70
Vhere x represents the number of hours she works
nd y represents the cost to her customers. Parrish's
awn-mowing rates are shown in the table. Who charges more per hour?
1. What is the constant rate of change that represents how much
Carla charges each hour?
2. What is the constant rate of change that represents how much
Parrish charges each hour?
3. What is the fixed cost that Carla charges?
4. What is the fixed cost that Parrish charges?
5. Who charges more per hour?

i can you with this sweetie!

step-by-step explanation:

its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

part a: 1.08

part b: 27.59